Forum Discussion

ngerdes's avatar
ngerdes
Copper Contributor
Nov 28, 2022

Engineering Dynamics Problem

Hey all, Looking for some help for a dynamics/mechanical engineering problem. I am trying to find the minimum stopping distance of a truck given two coefficients of static friction (mu) when a 50 kg...

Resources

"}},"componentScriptGroups({\"componentId\":\"custom.widget.Social_Sharing\"})":{"__typename":"ComponentScriptGroups","scriptGroups":{"__typename":"ComponentScriptGroupsDefinition","afterInteractive":{"__typename":"PageScriptGroupDefinition","group":"AFTER_INTERACTIVE","scriptIds":[]},"lazyOnLoad":{"__typename":"PageScriptGroupDefinition","group":"LAZY_ON_LOAD","scriptIds":[]}},"componentScripts":[]},"component({\"componentId\":\"custom.widget.MicrosoftFooter\"})":{"__typename":"Component","render({\"context\":{\"component\":{\"entities\":[],\"props\":{}},\"page\":{\"entities\":[\"board:ExcelGeneral\",\"message:3685399\"],\"name\":\"ForumReplyPage\",\"props\":{},\"url\":\"https://techcommunity.microsoft.com/discussions/excelgeneral/engineering-dynamics-problem/3685399/replies/3685726\"}}})":{"__typename":"ComponentRenderResult","html":""}},"componentScriptGroups({\"componentId\":\"custom.widget.MicrosoftFooter\"})":{"__typename":"ComponentScriptGroups","scriptGroups":{"__typename":"ComponentScriptGroupsDefinition","afterInteractive":{"__typename":"PageScriptGroupDefinition","group":"AFTER_INTERACTIVE","scriptIds":[]},"lazyOnLoad":{"__typename":"PageScriptGroupDefinition","group":"LAZY_ON_LOAD","scriptIds":[]}},"componentScripts":[]},"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"components/community/NavbarDropdownToggle\"]})":[{"__ref":"CachedAsset:text:en_US-components/community/NavbarDropdownToggle-1743095130000"}],"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"shared/client/components/common/QueryHandler\"]})":[{"__ref":"CachedAsset:text:en_US-shared/client/components/common/QueryHandler-1743095130000"}],"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/EscalatedMessageBanner\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/EscalatedMessageBanner-1743095130000"}],"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"components/users/UserLink\"]})":[{"__ref":"CachedAsset:text:en_US-components/users/UserLink-1743095130000"}],"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"shared/client/components/users/UserRank\"]})":[{"__ref":"CachedAsset:text:en_US-shared/client/components/users/UserRank-1743095130000"}],"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/MessageTime\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/MessageTime-1743095130000"}],"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/MessageSolvedBadge\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/MessageSolvedBadge-1743095130000"}],"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/MessageSubject\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/MessageSubject-1743095130000"}],"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/MessageBody\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/MessageBody-1743095130000"}],"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/MessageCustomFields\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/MessageCustomFields-1743095130000"}],"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/MessageReplyButton\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/MessageReplyButton-1743095130000"}],"message({\"id\":\"message:3685399\"})":{"__ref":"ForumTopicMessage:message:3685399"},"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"shared/client/components/users/UserAvatar\"]})":[{"__ref":"CachedAsset:text:en_US-shared/client/components/users/UserAvatar-1743095130000"}],"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"shared/client/components/ranks/UserRankLabel\"]})":[{"__ref":"CachedAsset:text:en_US-shared/client/components/ranks/UserRankLabel-1743095130000"}],"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/AcceptedSolutionButton\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/AcceptedSolutionButton-1743095130000"}],"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"components/messages/ThreadedReplyList\"]})":[{"__ref":"CachedAsset:text:en_US-components/messages/ThreadedReplyList-1743095130000"}],"message({\"id\":\"message:3685629\"})":{"__ref":"ForumReplyMessage:message:3685629"},"cachedText({\"lastModified\":\"1743095130000\",\"locale\":\"en-US\",\"namespaces\":[\"components/tags/TagView/TagViewChip\"]})":[{"__ref":"CachedAsset:text:en_US-components/tags/TagView/TagViewChip-1743095130000"}]},"CachedAsset:pages-1743151342516":{"__typename":"CachedAsset","id":"pages-1743151342516","value":[{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"BlogViewAllPostsPage","type":"BLOG","urlPath":"/category/:categoryId/blog/:boardId/all-posts/(/:after|/:before)?","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"CasePortalPage","type":"CASE_PORTAL","urlPath":"/caseportal","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"CreateGroupHubPage","type":"GROUP_HUB","urlPath":"/groups/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"CaseViewPage","type":"CASE_DETAILS","urlPath":"/case/:caseId/:caseNumber","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"InboxPage","type":"COMMUNITY","urlPath":"/inbox","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"HelpFAQPage","type":"COMMUNITY","urlPath":"/help","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"IdeaMessagePage","type":"IDEA_POST","urlPath":"/idea/:boardId/:messageSubject/:messageId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"IdeaViewAllIdeasPage","type":"IDEA","urlPath":"/category/:categoryId/ideas/:boardId/all-ideas/(/:after|/:before)?","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"LoginPage","type":"USER","urlPath":"/signin","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"BlogPostPage","type":"BLOG","urlPath":"/category/:categoryId/blogs/:boardId/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"UserBlogPermissions.Page","type":"COMMUNITY","urlPath":"/c/user-blog-permissions/page","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"ThemeEditorPage","type":"COMMUNITY","urlPath":"/designer/themes","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"TkbViewAllArticlesPage","type":"TKB","urlPath":"/category/:categoryId/kb/:boardId/all-articles/(/:after|/:before)?","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1730819800000,"localOverride":null,"page":{"id":"AllEvents","type":"CUSTOM","urlPath":"/Events","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"OccasionEditPage","type":"EVENT","urlPath":"/event/:boardId/:messageSubject/:messageId/edit","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"OAuthAuthorizationAllowPage","type":"USER","urlPath":"/auth/authorize/allow","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"PageEditorPage","type":"COMMUNITY","urlPath":"/designer/pages","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"PostPage","type":"COMMUNITY","urlPath":"/category/:categoryId/:boardId/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"ForumBoardPage","type":"FORUM","urlPath":"/category/:categoryId/discussions/:boardId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"TkbBoardPage","type":"TKB","urlPath":"/category/:categoryId/kb/:boardId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"EventPostPage","type":"EVENT","urlPath":"/category/:categoryId/events/:boardId/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"UserBadgesPage","type":"COMMUNITY","urlPath":"/users/:login/:userId/badges","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"GroupHubMembershipAction","type":"GROUP_HUB","urlPath":"/membership/join/:nodeId/:membershipType","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"MaintenancePage","type":"COMMUNITY","urlPath":"/maintenance","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"IdeaReplyPage","type":"IDEA_REPLY","urlPath":"/idea/:boardId/:messageSubject/:messageId/comments/:replyId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"UserSettingsPage","type":"USER","urlPath":"/mysettings/:userSettingsTab","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"GroupHubsPage","type":"GROUP_HUB","urlPath":"/groups","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"ForumPostPage","type":"FORUM","urlPath":"/category/:categoryId/discussions/:boardId/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"OccasionRsvpActionPage","type":"OCCASION","urlPath":"/event/:boardId/:messageSubject/:messageId/rsvp/:responseType","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"VerifyUserEmailPage","type":"USER","urlPath":"/verifyemail/:userId/:verifyEmailToken","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"AllOccasionsPage","type":"OCCASION","urlPath":"/category/:categoryId/events/:boardId/all-events/(/:after|/:before)?","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"EventBoardPage","type":"EVENT","urlPath":"/category/:categoryId/events/:boardId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"TkbReplyPage","type":"TKB_REPLY","urlPath":"/kb/:boardId/:messageSubject/:messageId/comments/:replyId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"IdeaBoardPage","type":"IDEA","urlPath":"/category/:categoryId/ideas/:boardId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"CommunityGuideLinesPage","type":"COMMUNITY","urlPath":"/communityguidelines","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"CaseCreatePage","type":"SALESFORCE_CASE_CREATION","urlPath":"/caseportal/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"TkbEditPage","type":"TKB","urlPath":"/kb/:boardId/:messageSubject/:messageId/edit","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"ForgotPasswordPage","type":"USER","urlPath":"/forgotpassword","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"IdeaEditPage","type":"IDEA","urlPath":"/idea/:boardId/:messageSubject/:messageId/edit","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"TagPage","type":"COMMUNITY","urlPath":"/tag/:tagName","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"BlogBoardPage","type":"BLOG","urlPath":"/category/:categoryId/blog/:boardId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"OccasionMessagePage","type":"OCCASION_TOPIC","urlPath":"/event/:boardId/:messageSubject/:messageId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"ManageContentPage","type":"COMMUNITY","urlPath":"/managecontent","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"ClosedMembershipNodeNonMembersPage","type":"GROUP_HUB","urlPath":"/closedgroup/:groupHubId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"CommunityPage","type":"COMMUNITY","urlPath":"/","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"ForumMessagePage","type":"FORUM_TOPIC","urlPath":"/discussions/:boardId/:messageSubject/:messageId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"IdeaPostPage","type":"IDEA","urlPath":"/category/:categoryId/ideas/:boardId/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1730819800000,"localOverride":null,"page":{"id":"CommunityHub.Page","type":"CUSTOM","urlPath":"/Directory","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"BlogMessagePage","type":"BLOG_ARTICLE","urlPath":"/blog/:boardId/:messageSubject/:messageId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"RegistrationPage","type":"USER","urlPath":"/register","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"EditGroupHubPage","type":"GROUP_HUB","urlPath":"/group/:groupHubId/edit","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"ForumEditPage","type":"FORUM","urlPath":"/discussions/:boardId/:messageSubject/:messageId/edit","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"ResetPasswordPage","type":"USER","urlPath":"/resetpassword/:userId/:resetPasswordToken","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1730819800000,"localOverride":null,"page":{"id":"AllBlogs.Page","type":"CUSTOM","urlPath":"/blogs","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"TkbMessagePage","type":"TKB_ARTICLE","urlPath":"/kb/:boardId/:messageSubject/:messageId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"BlogEditPage","type":"BLOG","urlPath":"/blog/:boardId/:messageSubject/:messageId/edit","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"ManageUsersPage","type":"USER","urlPath":"/users/manage/:tab?/:manageUsersTab?","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"ForumReplyPage","type":"FORUM_REPLY","urlPath":"/discussions/:boardId/:messageSubject/:messageId/replies/:replyId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"PrivacyPolicyPage","type":"COMMUNITY","urlPath":"/privacypolicy","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"NotificationPage","type":"COMMUNITY","urlPath":"/notifications","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"UserPage","type":"USER","urlPath":"/users/:login/:userId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"OccasionReplyPage","type":"OCCASION_REPLY","urlPath":"/event/:boardId/:messageSubject/:messageId/comments/:replyId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"ManageMembersPage","type":"GROUP_HUB","urlPath":"/group/:groupHubId/manage/:tab?","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"SearchResultsPage","type":"COMMUNITY","urlPath":"/search","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"BlogReplyPage","type":"BLOG_REPLY","urlPath":"/blog/:boardId/:messageSubject/:messageId/replies/:replyId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"GroupHubPage","type":"GROUP_HUB","urlPath":"/group/:groupHubId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"TermsOfServicePage","type":"COMMUNITY","urlPath":"/termsofservice","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"CategoryPage","type":"CATEGORY","urlPath":"/category/:categoryId","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"ForumViewAllTopicsPage","type":"FORUM","urlPath":"/category/:categoryId/discussions/:boardId/all-topics/(/:after|/:before)?","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"TkbPostPage","type":"TKB","urlPath":"/category/:categoryId/kbs/:boardId/create","__typename":"PageDescriptor"},"__typename":"PageResource"},{"lastUpdatedTime":1743151342516,"localOverride":null,"page":{"id":"GroupHubPostPage","type":"GROUP_HUB","urlPath":"/group/:groupHubId/:boardId/create","__typename":"PageDescriptor"},"__typename":"PageResource"}],"localOverride":false},"CachedAsset:text:en_US-components/context/AppContext/AppContextProvider-0":{"__typename":"CachedAsset","id":"text:en_US-components/context/AppContext/AppContextProvider-0","value":{"noCommunity":"Cannot find community","noUser":"Cannot find current user","noNode":"Cannot find node with id {nodeId}","noMessage":"Cannot find message with id {messageId}"},"localOverride":false},"CachedAsset:text:en_US-shared/client/components/common/Loading/LoadingDot-0":{"__typename":"CachedAsset","id":"text:en_US-shared/client/components/common/Loading/LoadingDot-0","value":{"title":"Loading..."},"localOverride":false},"User:user:-1":{"__typename":"User","id":"user:-1","uid":-1,"login":"Deleted","email":"","avatar":null,"rank":null,"kudosWeight":1,"registrationData":{"__typename":"RegistrationData","status":"ANONYMOUS","registrationTime":null,"confirmEmailStatus":false,"registrationAccessLevel":"VIEW","ssoRegistrationFields":[]},"ssoId":null,"profileSettings":{"__typename":"ProfileSettings","dateDisplayStyle":{"__typename":"InheritableStringSettingWithPossibleValues","key":"layout.friendly_dates_enabled","value":"false","localValue":"true","possibleValues":["true","false"]},"dateDisplayFormat":{"__typename":"InheritableStringSetting","key":"layout.format_pattern_date","value":"MMM dd yyyy","localValue":"MM-dd-yyyy"},"language":{"__typename":"InheritableStringSettingWithPossibleValues","key":"profile.language","value":"en-US","localValue":"en","possibleValues":["en-US"]}},"deleted":false},"Theme:customTheme1":{"__typename":"Theme","id":"customTheme1"},"Category:category:microsoft365":{"__typename":"Category","id":"category:microsoft365","entityType":"CATEGORY","displayId":"microsoft365","nodeType":"category","depth":3,"title":"Microsoft 365","shortTitle":"Microsoft 365","parent":{"__ref":"Category:category:products-services"},"categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:top":{"__typename":"Category","id":"category:top","displayId":"top","nodeType":"category","depth":0,"title":"Top","entityType":"CATEGORY","shortTitle":"Top"},"Category:category:communities":{"__typename":"Category","id":"category:communities","displayId":"communities","nodeType":"category","depth":1,"parent":{"__ref":"Category:category:top"},"title":"Communities","entityType":"CATEGORY","shortTitle":"Communities"},"Category:category:products-services":{"__typename":"Category","id":"category:products-services","displayId":"products-services","nodeType":"category","depth":2,"parent":{"__ref":"Category:category:communities"},"title":"Products","entityType":"CATEGORY","shortTitle":"Products"},"Forum:board:ExcelGeneral":{"__typename":"Forum","id":"board:ExcelGeneral","entityType":"FORUM","displayId":"ExcelGeneral","nodeType":"board","depth":4,"conversationStyle":"FORUM","title":"Excel","description":"Your community for how-to discussions and sharing best practices on Microsoft Excel. If you’re looking for technical support, please visit Microsoft Support Community.","avatar":null,"profileSettings":{"__typename":"ProfileSettings","language":null},"parent":{"__ref":"Category:category:microsoft365"},"ancestors":{"__typename":"CoreNodeConnection","edges":[{"__typename":"CoreNodeEdge","node":{"__ref":"Community:community:gxcuf89792"}},{"__typename":"CoreNodeEdge","node":{"__ref":"Category:category:communities"}},{"__typename":"CoreNodeEdge","node":{"__ref":"Category:category:products-services"}},{"__typename":"CoreNodeEdge","node":{"__ref":"Category:category:microsoft365"}}]},"userContext":{"__typename":"NodeUserContext","canAddAttachments":false,"canUpdateNode":false,"canPostMessages":false,"isSubscribed":false},"boardPolicies":{"__typename":"BoardPolicies","canPublishArticleOnCreate":{"__typename":"PolicyResult","failureReason":{"__typename":"FailureReason","message":"error.lithium.policies.forums.policy_can_publish_on_create_workflow_action.accessDenied","key":"error.lithium.policies.forums.policy_can_publish_on_create_workflow_action.accessDenied","args":[]}}},"shortTitle":"Excel","repliesProperties":{"__typename":"RepliesProperties","sortOrder":"REVERSE_PUBLISH_TIME","repliesFormat":"threaded"},"tagProperties":{"__typename":"TagNodeProperties","tagsEnabled":{"__typename":"PolicyResult","failureReason":null}},"requireTags":true,"tagType":"PRESET_ONLY"},"Rank:rank:37":{"__typename":"Rank","id":"rank:37","position":18,"name":"Copper Contributor","color":"333333","icon":null,"rankStyle":"TEXT"},"User:user:1630262":{"__typename":"User","id":"user:1630262","uid":1630262,"login":"ngerdes","deleted":false,"avatar":{"__typename":"UserAvatar","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/m_assets/avatars/default/avatar-5.svg?time=0"},"rank":{"__ref":"Rank:rank:37"},"email":"","messagesCount":2,"biography":null,"topicsCount":1,"kudosReceivedCount":0,"kudosGivenCount":0,"kudosWeight":1,"registrationData":{"__typename":"RegistrationData","status":null,"registrationTime":"2022-11-28T08:33:59.511-08:00","confirmEmailStatus":null},"followersCount":null,"solutionsCount":0},"ForumTopicMessage:message:3685399":{"__typename":"ForumTopicMessage","uid":3685399,"subject":"Engineering Dynamics Problem","id":"message:3685399","revisionNum":1,"repliesCount":3,"author":{"__ref":"User:user:1630262"},"depth":0,"hasGivenKudo":false,"board":{"__ref":"Forum:board:ExcelGeneral"},"conversation":{"__ref":"Conversation:conversation:3685399"},"readOnly":false,"editFrozen":false,"moderationData":{"__ref":"ModerationData:moderation_data:3685399"},"body@stripHtml({\"truncateLength\":200})":" Hey all, Looking for some help for a dynamics/mechanical engineering problem. I am trying to find the minimum stopping distance of a truck given two coefficients of static friction (mu) when a 50 kg...","body@stringLength":"1220","rawBody":"

Hey all,

Looking for some help for a dynamics/mechanical engineering problem. I am trying to find the minimum stopping distance of a truck given two coefficients of static friction (mu) when a 50 kg sandbag is added 0.5 meters forward of the rear axle. The two coefficients represent two different tire brands.

 

I found an expression (that has been verified) to find the acceleration of the truck which I can then find velocity from. So once velocity is zero, I would look at the distance (s) and that is the minimum stopping distance.

 

I haven't set a spreadsheet up like this before and am having trouble doing so. My professor recommended making inputs, but that is again something I have never used. I appreciate any help you all can offer. Thanks!

 

","kudosSumWeight":0,"postTime":"2022-11-28T08:59:47.809-08:00","images":{"__typename":"AssociatedImageConnection","edges":[{"__typename":"AssociatedImageEdge","cursor":"MjUuMXwyLjF8b3wyNXxfTlZffDE","node":{"__ref":"AssociatedImage:{\"url\":\"https://techcommunity.microsoft.com/t5/s/gxcuf89792/images/bS0zNjg1Mzk5LTQyMTY2MWk5MEFEQzc4OEUwMkQ2ODYz?revision=1\"}"}}],"totalCount":1,"pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null}},"attachments":{"__typename":"AttachmentConnection","pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null},"edges":[]},"tags":{"__typename":"TagConnection","pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null},"edges":[{"__typename":"TagEdge","cursor":"MjUuMXwyLjF8b3wxMHxfTlZffDE","node":{"__typename":"Tag","id":"tag:excel","text":"excel","time":"2016-06-21T14:08:51.129-07:00","lastActivityTime":null,"messagesCount":null,"followersCount":null}},{"__typename":"TagEdge","cursor":"MjUuMXwyLjF8b3wxMHxfTlZffDI","node":{"__typename":"Tag","id":"tag:Excel on Mac","text":"Excel on Mac","time":"2016-06-24T14:00:56.974-07:00","lastActivityTime":null,"messagesCount":null,"followersCount":null}},{"__typename":"TagEdge","cursor":"MjUuMXwyLjF8b3wxMHxfTlZffDM","node":{"__typename":"Tag","id":"tag:Formulas and Functions","text":"Formulas and Functions","time":"2016-06-24T14:00:56.974-07:00","lastActivityTime":null,"messagesCount":null,"followersCount":null}}]},"timeToRead":1,"currentRevision":{"__ref":"Revision:revision:3685399_1"},"latestVersion":null,"metrics":{"__typename":"MessageMetrics","views":1696},"visibilityScope":"PUBLIC","canonicalUrl":null,"seoTitle":null,"seoDescription":null,"isEscalated":null,"placeholder":false,"originalMessageForPlaceholder":null,"messagePolicies":{"__typename":"MessagePolicies","canModerateSpamMessage":{"__typename":"PolicyResult","failureReason":{"__typename":"FailureReason","message":"error.lithium.policies.feature.moderation_spam.action.moderate_entity.allowed.accessDenied","key":"error.lithium.policies.feature.moderation_spam.action.moderate_entity.allowed.accessDenied","args":[]}}},"archivalData":null,"customFields":[],"body":"

Hey all,

Looking for some help for a dynamics/mechanical engineering problem. I am trying to find the minimum stopping distance of a truck given two coefficients of static friction (mu) when a 50 kg sandbag is added 0.5 meters forward of the rear axle. The two coefficients represent two different tire brands.

 

I found an expression (that has been verified) to find the acceleration of the truck which I can then find velocity from. So once velocity is zero, I would look at the distance (s) and that is the minimum stopping distance.

 

I haven't set a spreadsheet up like this before and am having trouble doing so. My professor recommended making inputs, but that is again something I have never used. I appreciate any help you all can offer. Thanks!

 

"},"Conversation:conversation:3685399":{"__typename":"Conversation","id":"conversation:3685399","solved":false,"topic":{"__ref":"ForumTopicMessage:message:3685399"},"lastPostingActivityTime":"2022-11-28T15:31:11.311-08:00","lastPostTime":"2022-11-28T15:31:11.311-08:00","unreadReplyCount":3,"isSubscribed":false},"ModerationData:moderation_data:3685399":{"__typename":"ModerationData","id":"moderation_data:3685399","status":"APPROVED","rejectReason":null,"isReportedAbuse":false,"rejectUser":null,"rejectTime":null,"rejectActorType":null},"AssociatedImage:{\"url\":\"https://techcommunity.microsoft.com/t5/s/gxcuf89792/images/bS0zNjg1Mzk5LTQyMTY2MWk5MEFEQzc4OEUwMkQ2ODYz?revision=1\"}":{"__typename":"AssociatedImage","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/images/bS0zNjg1Mzk5LTQyMTY2MWk5MEFEQzc4OEUwMkQ2ODYz?revision=1","title":"A21-4.jpg","associationType":"BODY","width":2244,"height":2904,"altText":null},"Revision:revision:3685399_1":{"__typename":"Revision","id":"revision:3685399_1","lastEditTime":"2022-11-28T08:59:47.809-08:00"},"ForumReplyMessage:message:3685726":{"__typename":"ForumReplyMessage","id":"message:3685726","conversation":{"__ref":"Conversation:conversation:3685399"},"author":{"__ref":"User:user:570951"},"revisionNum":1,"uid":3685726,"depth":3,"hasGivenKudo":false,"subscribed":false,"board":{"__ref":"Forum:board:ExcelGeneral"},"subject":"Re: Engineering Dynamics Problem","readOnly":false,"editFrozen":false,"moderationData":{"__ref":"ModerationData:moderation_data:3685726"},"parent":{"__ref":"ForumReplyMessage:message:3685629"},"body":"I might suggest you create a name TotWeight since you use that a lot. and i think you want to be using time change so cell B3 should be something like =D2*(A3-A2) but then again you can define dt as a name since it is a constant (you could make it =$A$3-$A$2 so if you change the step size it will automatically change with it. Another nice option is to define \"Time Step\" on the sheet (e.g. F1=\"Time Step =\" and then in G1 you type what it will be like 0.02). And another quick trick/tip, with G1 highlighted you can click on the cell address in the top let to the left of the formula bar where is says 'G1' and then type \"dt\" and that will automatically create a \"Name\" called \"dt\" and set it to cell G1. Then in A2 you can type =SEQUENCE(1000,,,dt) to automatically create a column of 1000 numbers stepping by 'dt'. If you don't want to start at 0 then use =SEQUENCE(1000,,dt,dt)
I'm not clear why acceleration is changing. What is velocity dependent? Basically I don't get where that 0.9*V^2 comes in (looks like 1/2 m v^2 but that would be work not acceleration). I'm guessing that is another part of the problem not noted here.
Also in your notes you combine mu1 F1 + mu2 F2 to be mu*m*g which seems fine if mu1=mu2 but in your name definitions you indicate mu1=0.1 and mu2=0.2 so are the names wrong or the formula?","body@stringLength":"1332","rawBody":"I might suggest you create a name TotWeight since you use that a lot. and i think you want to be using time change so cell B3 should be something like =D2*(A3-A2) but then again you can define dt as a name since it is a constant (you could make it =$A$3-$A$2 so if you change the step size it will automatically change with it. Another nice option is to define \"Time Step\" on the sheet (e.g. F1=\"Time Step =\" and then in G1 you type what it will be like 0.02). And another quick trick/tip, with G1 highlighted you can click on the cell address in the top let to the left of the formula bar where is says 'G1' and then type \"dt\" and that will automatically create a \"Name\" called \"dt\" and set it to cell G1. Then in A2 you can type =SEQUENCE(1000,,,dt) to automatically create a column of 1000 numbers stepping by 'dt'. If you don't want to start at 0 then use =SEQUENCE(1000,,dt,dt)
I'm not clear why acceleration is changing. What is velocity dependent? Basically I don't get where that 0.9*V^2 comes in (looks like 1/2 m v^2 but that would be work not acceleration). I'm guessing that is another part of the problem not noted here.
Also in your notes you combine mu1 F1 + mu2 F2 to be mu*m*g which seems fine if mu1=mu2 but in your name definitions you indicate mu1=0.1 and mu2=0.2 so are the names wrong or the formula?","kudosSumWeight":0,"repliesCount":0,"postTime":"2022-11-28T15:31:11.311-08:00","images":{"__typename":"AssociatedImageConnection","edges":[],"totalCount":0,"pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null}},"attachments":{"__typename":"AttachmentConnection","pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null},"edges":[]},"timeToRead":2,"currentRevision":{"__ref":"Revision:revision:3685726_1"},"latestVersion":null,"metrics":{"__typename":"MessageMetrics","views":1626},"visibilityScope":"PUBLIC","isEscalated":null,"placeholder":false,"originalMessageForPlaceholder":null,"messagePolicies":{"__typename":"MessagePolicies","canModerateSpamMessage":{"__typename":"PolicyResult","failureReason":{"__typename":"FailureReason","message":"error.lithium.policies.feature.moderation_spam.action.moderate_entity.allowed.accessDenied","key":"error.lithium.policies.feature.moderation_spam.action.moderate_entity.allowed.accessDenied","args":[]}}},"customFields":[],"replies":{"__typename":"MessageConnection","edges":[],"pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null}}},"CachedAsset:theme:customTheme1-1743151340005":{"__typename":"CachedAsset","id":"theme:customTheme1-1743151340005","value":{"id":"customTheme1","animation":{"fast":"150ms","normal":"250ms","slow":"500ms","slowest":"750ms","function":"cubic-bezier(0.07, 0.91, 0.51, 1)","__typename":"AnimationThemeSettings"},"avatar":{"borderRadius":"50%","collections":["default"],"__typename":"AvatarThemeSettings"},"basics":{"browserIcon":{"imageAssetName":"favicon-1730836283320.png","imageLastModified":"1730836286415","__typename":"ThemeAsset"},"customerLogo":{"imageAssetName":"favicon-1730836271365.png","imageLastModified":"1730836274203","__typename":"ThemeAsset"},"maximumWidthOfPageContent":"1300px","oneColumnNarrowWidth":"800px","gridGutterWidthMd":"30px","gridGutterWidthXs":"10px","pageWidthStyle":"WIDTH_OF_BROWSER","__typename":"BasicsThemeSettings"},"buttons":{"borderRadiusSm":"3px","borderRadius":"3px","borderRadiusLg":"5px","paddingY":"5px","paddingYLg":"7px","paddingYHero":"var(--lia-bs-btn-padding-y-lg)","paddingX":"12px","paddingXLg":"16px","paddingXHero":"60px","fontStyle":"NORMAL","fontWeight":"700","textTransform":"NONE","disabledOpacity":0.5,"primaryTextColor":"var(--lia-bs-white)","primaryTextHoverColor":"var(--lia-bs-white)","primaryTextActiveColor":"var(--lia-bs-white)","primaryBgColor":"var(--lia-bs-primary)","primaryBgHoverColor":"hsl(var(--lia-bs-primary-h), var(--lia-bs-primary-s), calc(var(--lia-bs-primary-l) * 0.85))","primaryBgActiveColor":"hsl(var(--lia-bs-primary-h), var(--lia-bs-primary-s), calc(var(--lia-bs-primary-l) * 0.7))","primaryBorder":"1px solid transparent","primaryBorderHover":"1px solid transparent","primaryBorderActive":"1px solid transparent","primaryBorderFocus":"1px solid var(--lia-bs-white)","primaryBoxShadowFocus":"0 0 0 1px var(--lia-bs-primary), 0 0 0 4px hsla(var(--lia-bs-primary-h), var(--lia-bs-primary-s), var(--lia-bs-primary-l), 0.2)","secondaryTextColor":"var(--lia-bs-gray-900)","secondaryTextHoverColor":"hsl(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), calc(var(--lia-bs-gray-900-l) * 0.95))","secondaryTextActiveColor":"hsl(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), calc(var(--lia-bs-gray-900-l) * 0.9))","secondaryBgColor":"var(--lia-bs-gray-200)","secondaryBgHoverColor":"hsl(var(--lia-bs-gray-200-h), var(--lia-bs-gray-200-s), calc(var(--lia-bs-gray-200-l) * 0.96))","secondaryBgActiveColor":"hsl(var(--lia-bs-gray-200-h), var(--lia-bs-gray-200-s), calc(var(--lia-bs-gray-200-l) * 0.92))","secondaryBorder":"1px solid transparent","secondaryBorderHover":"1px solid transparent","secondaryBorderActive":"1px solid transparent","secondaryBorderFocus":"1px solid transparent","secondaryBoxShadowFocus":"0 0 0 1px var(--lia-bs-primary), 0 0 0 4px hsla(var(--lia-bs-primary-h), var(--lia-bs-primary-s), var(--lia-bs-primary-l), 0.2)","tertiaryTextColor":"var(--lia-bs-gray-900)","tertiaryTextHoverColor":"hsl(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), calc(var(--lia-bs-gray-900-l) * 0.95))","tertiaryTextActiveColor":"hsl(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), calc(var(--lia-bs-gray-900-l) * 0.9))","tertiaryBgColor":"transparent","tertiaryBgHoverColor":"transparent","tertiaryBgActiveColor":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.04)","tertiaryBorder":"1px solid transparent","tertiaryBorderHover":"1px solid hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.08)","tertiaryBorderActive":"1px solid transparent","tertiaryBorderFocus":"1px solid transparent","tertiaryBoxShadowFocus":"0 0 0 1px var(--lia-bs-primary), 0 0 0 4px hsla(var(--lia-bs-primary-h), var(--lia-bs-primary-s), var(--lia-bs-primary-l), 0.2)","destructiveTextColor":"var(--lia-bs-danger)","destructiveTextHoverColor":"hsl(var(--lia-bs-danger-h), var(--lia-bs-danger-s), calc(var(--lia-bs-danger-l) * 0.95))","destructiveTextActiveColor":"hsl(var(--lia-bs-danger-h), var(--lia-bs-danger-s), calc(var(--lia-bs-danger-l) * 0.9))","destructiveBgColor":"var(--lia-bs-gray-200)","destructiveBgHoverColor":"hsl(var(--lia-bs-gray-200-h), var(--lia-bs-gray-200-s), calc(var(--lia-bs-gray-200-l) * 0.96))","destructiveBgActiveColor":"hsl(var(--lia-bs-gray-200-h), var(--lia-bs-gray-200-s), calc(var(--lia-bs-gray-200-l) * 0.92))","destructiveBorder":"1px solid transparent","destructiveBorderHover":"1px solid transparent","destructiveBorderActive":"1px solid transparent","destructiveBorderFocus":"1px solid transparent","destructiveBoxShadowFocus":"0 0 0 1px var(--lia-bs-primary), 0 0 0 4px hsla(var(--lia-bs-primary-h), var(--lia-bs-primary-s), var(--lia-bs-primary-l), 0.2)","__typename":"ButtonsThemeSettings"},"border":{"color":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.08)","mainContent":"NONE","sideContent":"LIGHT","radiusSm":"3px","radius":"5px","radiusLg":"9px","radius50":"100vw","__typename":"BorderThemeSettings"},"boxShadow":{"xs":"0 0 0 1px hsla(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), var(--lia-bs-gray-900-l), 0.08), 0 3px 0 -1px hsla(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), var(--lia-bs-gray-900-l), 0.16)","sm":"0 2px 4px hsla(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), var(--lia-bs-gray-900-l), 0.12)","md":"0 5px 15px hsla(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), var(--lia-bs-gray-900-l), 0.3)","lg":"0 10px 30px hsla(var(--lia-bs-gray-900-h), var(--lia-bs-gray-900-s), var(--lia-bs-gray-900-l), 0.3)","__typename":"BoxShadowThemeSettings"},"cards":{"bgColor":"var(--lia-panel-bg-color)","borderRadius":"var(--lia-panel-border-radius)","boxShadow":"var(--lia-box-shadow-xs)","__typename":"CardsThemeSettings"},"chip":{"maxWidth":"300px","height":"30px","__typename":"ChipThemeSettings"},"coreTypes":{"defaultMessageLinkColor":"var(--lia-bs-link-color)","defaultMessageLinkDecoration":"none","defaultMessageLinkFontStyle":"NORMAL","defaultMessageLinkFontWeight":"400","defaultMessageFontStyle":"NORMAL","defaultMessageFontWeight":"400","forumColor":"#4099E2","forumFontFamily":"var(--lia-bs-font-family-base)","forumFontWeight":"var(--lia-default-message-font-weight)","forumLineHeight":"var(--lia-bs-line-height-base)","forumFontStyle":"var(--lia-default-message-font-style)","forumMessageLinkColor":"var(--lia-default-message-link-color)","forumMessageLinkDecoration":"var(--lia-default-message-link-decoration)","forumMessageLinkFontStyle":"var(--lia-default-message-link-font-style)","forumMessageLinkFontWeight":"var(--lia-default-message-link-font-weight)","forumSolvedColor":"#148563","blogColor":"#1CBAA0","blogFontFamily":"var(--lia-bs-font-family-base)","blogFontWeight":"var(--lia-default-message-font-weight)","blogLineHeight":"1.75","blogFontStyle":"var(--lia-default-message-font-style)","blogMessageLinkColor":"var(--lia-default-message-link-color)","blogMessageLinkDecoration":"var(--lia-default-message-link-decoration)","blogMessageLinkFontStyle":"var(--lia-default-message-link-font-style)","blogMessageLinkFontWeight":"var(--lia-default-message-link-font-weight)","tkbColor":"#4C6B90","tkbFontFamily":"var(--lia-bs-font-family-base)","tkbFontWeight":"var(--lia-default-message-font-weight)","tkbLineHeight":"1.75","tkbFontStyle":"var(--lia-default-message-font-style)","tkbMessageLinkColor":"var(--lia-default-message-link-color)","tkbMessageLinkDecoration":"var(--lia-default-message-link-decoration)","tkbMessageLinkFontStyle":"var(--lia-default-message-link-font-style)","tkbMessageLinkFontWeight":"var(--lia-default-message-link-font-weight)","qandaColor":"#4099E2","qandaFontFamily":"var(--lia-bs-font-family-base)","qandaFontWeight":"var(--lia-default-message-font-weight)","qandaLineHeight":"var(--lia-bs-line-height-base)","qandaFontStyle":"var(--lia-default-message-link-font-style)","qandaMessageLinkColor":"var(--lia-default-message-link-color)","qandaMessageLinkDecoration":"var(--lia-default-message-link-decoration)","qandaMessageLinkFontStyle":"var(--lia-default-message-link-font-style)","qandaMessageLinkFontWeight":"var(--lia-default-message-link-font-weight)","qandaSolvedColor":"#3FA023","ideaColor":"#FF8000","ideaFontFamily":"var(--lia-bs-font-family-base)","ideaFontWeight":"var(--lia-default-message-font-weight)","ideaLineHeight":"var(--lia-bs-line-height-base)","ideaFontStyle":"var(--lia-default-message-font-style)","ideaMessageLinkColor":"var(--lia-default-message-link-color)","ideaMessageLinkDecoration":"var(--lia-default-message-link-decoration)","ideaMessageLinkFontStyle":"var(--lia-default-message-link-font-style)","ideaMessageLinkFontWeight":"var(--lia-default-message-link-font-weight)","contestColor":"#FCC845","contestFontFamily":"var(--lia-bs-font-family-base)","contestFontWeight":"var(--lia-default-message-font-weight)","contestLineHeight":"var(--lia-bs-line-height-base)","contestFontStyle":"var(--lia-default-message-link-font-style)","contestMessageLinkColor":"var(--lia-default-message-link-color)","contestMessageLinkDecoration":"var(--lia-default-message-link-decoration)","contestMessageLinkFontStyle":"ITALIC","contestMessageLinkFontWeight":"var(--lia-default-message-link-font-weight)","occasionColor":"#D13A1F","occasionFontFamily":"var(--lia-bs-font-family-base)","occasionFontWeight":"var(--lia-default-message-font-weight)","occasionLineHeight":"var(--lia-bs-line-height-base)","occasionFontStyle":"var(--lia-default-message-font-style)","occasionMessageLinkColor":"var(--lia-default-message-link-color)","occasionMessageLinkDecoration":"var(--lia-default-message-link-decoration)","occasionMessageLinkFontStyle":"var(--lia-default-message-link-font-style)","occasionMessageLinkFontWeight":"var(--lia-default-message-link-font-weight)","grouphubColor":"#333333","categoryColor":"#949494","communityColor":"#FFFFFF","productColor":"#949494","__typename":"CoreTypesThemeSettings"},"colors":{"black":"#000000","white":"#FFFFFF","gray100":"#F7F7F7","gray200":"#F7F7F7","gray300":"#E8E8E8","gray400":"#D9D9D9","gray500":"#CCCCCC","gray600":"#717171","gray700":"#707070","gray800":"#545454","gray900":"#333333","dark":"#545454","light":"#F7F7F7","primary":"#0069D4","secondary":"#333333","bodyText":"#333333","bodyBg":"#FFFFFF","info":"#409AE2","success":"#41C5AE","warning":"#FCC844","danger":"#BC341B","alertSystem":"#FF6600","textMuted":"#707070","highlight":"#FFFCAD","outline":"var(--lia-bs-primary)","custom":["#D3F5A4","#243A5E"],"__typename":"ColorsThemeSettings"},"divider":{"size":"3px","marginLeft":"4px","marginRight":"4px","borderRadius":"50%","bgColor":"var(--lia-bs-gray-600)","bgColorActive":"var(--lia-bs-gray-600)","__typename":"DividerThemeSettings"},"dropdown":{"fontSize":"var(--lia-bs-font-size-sm)","borderColor":"var(--lia-bs-border-color)","borderRadius":"var(--lia-bs-border-radius-sm)","dividerBg":"var(--lia-bs-gray-300)","itemPaddingY":"5px","itemPaddingX":"20px","headerColor":"var(--lia-bs-gray-700)","__typename":"DropdownThemeSettings"},"email":{"link":{"color":"#0069D4","hoverColor":"#0061c2","decoration":"none","hoverDecoration":"underline","__typename":"EmailLinkSettings"},"border":{"color":"#e4e4e4","__typename":"EmailBorderSettings"},"buttons":{"borderRadiusLg":"5px","paddingXLg":"16px","paddingYLg":"7px","fontWeight":"700","primaryTextColor":"#ffffff","primaryTextHoverColor":"#ffffff","primaryBgColor":"#0069D4","primaryBgHoverColor":"#005cb8","primaryBorder":"1px solid transparent","primaryBorderHover":"1px solid transparent","__typename":"EmailButtonsSettings"},"panel":{"borderRadius":"5px","borderColor":"#e4e4e4","__typename":"EmailPanelSettings"},"__typename":"EmailThemeSettings"},"emoji":{"skinToneDefault":"#ffcd43","skinToneLight":"#fae3c5","skinToneMediumLight":"#e2cfa5","skinToneMedium":"#daa478","skinToneMediumDark":"#a78058","skinToneDark":"#5e4d43","__typename":"EmojiThemeSettings"},"heading":{"color":"var(--lia-bs-body-color)","fontFamily":"Segoe UI","fontStyle":"NORMAL","fontWeight":"400","h1FontSize":"34px","h2FontSize":"32px","h3FontSize":"28px","h4FontSize":"24px","h5FontSize":"20px","h6FontSize":"16px","lineHeight":"1.3","subHeaderFontSize":"11px","subHeaderFontWeight":"500","h1LetterSpacing":"normal","h2LetterSpacing":"normal","h3LetterSpacing":"normal","h4LetterSpacing":"normal","h5LetterSpacing":"normal","h6LetterSpacing":"normal","subHeaderLetterSpacing":"2px","h1FontWeight":"var(--lia-bs-headings-font-weight)","h2FontWeight":"var(--lia-bs-headings-font-weight)","h3FontWeight":"var(--lia-bs-headings-font-weight)","h4FontWeight":"var(--lia-bs-headings-font-weight)","h5FontWeight":"var(--lia-bs-headings-font-weight)","h6FontWeight":"var(--lia-bs-headings-font-weight)","__typename":"HeadingThemeSettings"},"icons":{"size10":"10px","size12":"12px","size14":"14px","size16":"16px","size20":"20px","size24":"24px","size30":"30px","size40":"40px","size50":"50px","size60":"60px","size80":"80px","size120":"120px","size160":"160px","__typename":"IconsThemeSettings"},"imagePreview":{"bgColor":"var(--lia-bs-gray-900)","titleColor":"var(--lia-bs-white)","controlColor":"var(--lia-bs-white)","controlBgColor":"var(--lia-bs-gray-800)","__typename":"ImagePreviewThemeSettings"},"input":{"borderColor":"var(--lia-bs-gray-600)","disabledColor":"var(--lia-bs-gray-600)","focusBorderColor":"var(--lia-bs-primary)","labelMarginBottom":"10px","btnFontSize":"var(--lia-bs-font-size-sm)","focusBoxShadow":"0 0 0 3px hsla(var(--lia-bs-primary-h), var(--lia-bs-primary-s), var(--lia-bs-primary-l), 0.2)","checkLabelMarginBottom":"2px","checkboxBorderRadius":"3px","borderRadiusSm":"var(--lia-bs-border-radius-sm)","borderRadius":"var(--lia-bs-border-radius)","borderRadiusLg":"var(--lia-bs-border-radius-lg)","formTextMarginTop":"4px","textAreaBorderRadius":"var(--lia-bs-border-radius)","activeFillColor":"var(--lia-bs-primary)","__typename":"InputThemeSettings"},"loading":{"dotDarkColor":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.2)","dotLightColor":"hsla(var(--lia-bs-white-h), var(--lia-bs-white-s), var(--lia-bs-white-l), 0.5)","barDarkColor":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.06)","barLightColor":"hsla(var(--lia-bs-white-h), var(--lia-bs-white-s), var(--lia-bs-white-l), 0.4)","__typename":"LoadingThemeSettings"},"link":{"color":"var(--lia-bs-primary)","hoverColor":"hsl(var(--lia-bs-primary-h), var(--lia-bs-primary-s), calc(var(--lia-bs-primary-l) - 10%))","decoration":"none","hoverDecoration":"underline","__typename":"LinkThemeSettings"},"listGroup":{"itemPaddingY":"15px","itemPaddingX":"15px","borderColor":"var(--lia-bs-gray-300)","__typename":"ListGroupThemeSettings"},"modal":{"contentTextColor":"var(--lia-bs-body-color)","contentBg":"var(--lia-bs-white)","backgroundBg":"var(--lia-bs-black)","smSize":"440px","mdSize":"760px","lgSize":"1080px","backdropOpacity":0.3,"contentBoxShadowXs":"var(--lia-bs-box-shadow-sm)","contentBoxShadow":"var(--lia-bs-box-shadow)","headerFontWeight":"700","__typename":"ModalThemeSettings"},"navbar":{"position":"FIXED","background":{"attachment":null,"clip":null,"color":"var(--lia-bs-white)","imageAssetName":"","imageLastModified":"0","origin":null,"position":"CENTER_CENTER","repeat":"NO_REPEAT","size":"COVER","__typename":"BackgroundProps"},"backgroundOpacity":0.8,"paddingTop":"15px","paddingBottom":"15px","borderBottom":"1px solid var(--lia-bs-border-color)","boxShadow":"var(--lia-bs-box-shadow-sm)","brandMarginRight":"30px","brandMarginRightSm":"10px","brandLogoHeight":"30px","linkGap":"10px","linkJustifyContent":"flex-start","linkPaddingY":"5px","linkPaddingX":"10px","linkDropdownPaddingY":"9px","linkDropdownPaddingX":"var(--lia-nav-link-px)","linkColor":"var(--lia-bs-body-color)","linkHoverColor":"var(--lia-bs-primary)","linkFontSize":"var(--lia-bs-font-size-sm)","linkFontStyle":"NORMAL","linkFontWeight":"400","linkTextTransform":"NONE","linkLetterSpacing":"normal","linkBorderRadius":"var(--lia-bs-border-radius-sm)","linkBgColor":"transparent","linkBgHoverColor":"transparent","linkBorder":"none","linkBorderHover":"none","linkBoxShadow":"none","linkBoxShadowHover":"none","linkTextBorderBottom":"none","linkTextBorderBottomHover":"none","dropdownPaddingTop":"10px","dropdownPaddingBottom":"15px","dropdownPaddingX":"10px","dropdownMenuOffset":"2px","dropdownDividerMarginTop":"10px","dropdownDividerMarginBottom":"10px","dropdownBorderColor":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.08)","controllerBgHoverColor":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.1)","controllerIconColor":"var(--lia-bs-body-color)","controllerIconHoverColor":"var(--lia-bs-body-color)","controllerTextColor":"var(--lia-nav-controller-icon-color)","controllerTextHoverColor":"var(--lia-nav-controller-icon-hover-color)","controllerHighlightColor":"hsla(30, 100%, 50%)","controllerHighlightTextColor":"var(--lia-yiq-light)","controllerBorderRadius":"var(--lia-border-radius-50)","hamburgerColor":"var(--lia-nav-controller-icon-color)","hamburgerHoverColor":"var(--lia-nav-controller-icon-color)","hamburgerBgColor":"transparent","hamburgerBgHoverColor":"transparent","hamburgerBorder":"none","hamburgerBorderHover":"none","collapseMenuMarginLeft":"20px","collapseMenuDividerBg":"var(--lia-nav-link-color)","collapseMenuDividerOpacity":0.16,"__typename":"NavbarThemeSettings"},"pager":{"textColor":"var(--lia-bs-link-color)","textFontWeight":"var(--lia-font-weight-md)","textFontSize":"var(--lia-bs-font-size-sm)","__typename":"PagerThemeSettings"},"panel":{"bgColor":"var(--lia-bs-white)","borderRadius":"var(--lia-bs-border-radius)","borderColor":"var(--lia-bs-border-color)","boxShadow":"none","__typename":"PanelThemeSettings"},"popover":{"arrowHeight":"8px","arrowWidth":"16px","maxWidth":"300px","minWidth":"100px","headerBg":"var(--lia-bs-white)","borderColor":"var(--lia-bs-border-color)","borderRadius":"var(--lia-bs-border-radius)","boxShadow":"0 0.5rem 1rem hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.15)","__typename":"PopoverThemeSettings"},"prism":{"color":"#000000","bgColor":"#f5f2f0","fontFamily":"var(--font-family-monospace)","fontSize":"var(--lia-bs-font-size-base)","fontWeightBold":"var(--lia-bs-font-weight-bold)","fontStyleItalic":"italic","tabSize":2,"highlightColor":"#b3d4fc","commentColor":"#62707e","punctuationColor":"#6f6f6f","namespaceOpacity":"0.7","propColor":"#990055","selectorColor":"#517a00","operatorColor":"#906736","operatorBgColor":"hsla(0, 0%, 100%, 0.5)","keywordColor":"#0076a9","functionColor":"#d3284b","variableColor":"#c14700","__typename":"PrismThemeSettings"},"rte":{"bgColor":"var(--lia-bs-white)","borderRadius":"var(--lia-panel-border-radius)","boxShadow":" var(--lia-panel-box-shadow)","customColor1":"#bfedd2","customColor2":"#fbeeb8","customColor3":"#f8cac6","customColor4":"#eccafa","customColor5":"#c2e0f4","customColor6":"#2dc26b","customColor7":"#f1c40f","customColor8":"#e03e2d","customColor9":"#b96ad9","customColor10":"#3598db","customColor11":"#169179","customColor12":"#e67e23","customColor13":"#ba372a","customColor14":"#843fa1","customColor15":"#236fa1","customColor16":"#ecf0f1","customColor17":"#ced4d9","customColor18":"#95a5a6","customColor19":"#7e8c8d","customColor20":"#34495e","customColor21":"#000000","customColor22":"#ffffff","defaultMessageHeaderMarginTop":"40px","defaultMessageHeaderMarginBottom":"20px","defaultMessageItemMarginTop":"0","defaultMessageItemMarginBottom":"10px","diffAddedColor":"hsla(170, 53%, 51%, 0.4)","diffChangedColor":"hsla(43, 97%, 63%, 0.4)","diffNoneColor":"hsla(0, 0%, 80%, 0.4)","diffRemovedColor":"hsla(9, 74%, 47%, 0.4)","specialMessageHeaderMarginTop":"40px","specialMessageHeaderMarginBottom":"20px","specialMessageItemMarginTop":"0","specialMessageItemMarginBottom":"10px","__typename":"RteThemeSettings"},"tags":{"bgColor":"var(--lia-bs-gray-200)","bgHoverColor":"var(--lia-bs-gray-400)","borderRadius":"var(--lia-bs-border-radius-sm)","color":"var(--lia-bs-body-color)","hoverColor":"var(--lia-bs-body-color)","fontWeight":"var(--lia-font-weight-md)","fontSize":"var(--lia-font-size-xxs)","textTransform":"UPPERCASE","letterSpacing":"0.5px","__typename":"TagsThemeSettings"},"toasts":{"borderRadius":"var(--lia-bs-border-radius)","paddingX":"12px","__typename":"ToastsThemeSettings"},"typography":{"fontFamilyBase":"Segoe UI","fontStyleBase":"NORMAL","fontWeightBase":"400","fontWeightLight":"300","fontWeightNormal":"400","fontWeightMd":"500","fontWeightBold":"700","letterSpacingSm":"normal","letterSpacingXs":"normal","lineHeightBase":"1.5","fontSizeBase":"16px","fontSizeXxs":"11px","fontSizeXs":"12px","fontSizeSm":"14px","fontSizeLg":"20px","fontSizeXl":"24px","smallFontSize":"14px","customFonts":[{"source":"SERVER","name":"Segoe UI","styles":[{"style":"NORMAL","weight":"400","__typename":"FontStyleData"},{"style":"NORMAL","weight":"300","__typename":"FontStyleData"},{"style":"NORMAL","weight":"600","__typename":"FontStyleData"},{"style":"NORMAL","weight":"700","__typename":"FontStyleData"},{"style":"ITALIC","weight":"400","__typename":"FontStyleData"}],"assetNames":["SegoeUI-normal-400.woff2","SegoeUI-normal-300.woff2","SegoeUI-normal-600.woff2","SegoeUI-normal-700.woff2","SegoeUI-italic-400.woff2"],"__typename":"CustomFont"},{"source":"SERVER","name":"MWF Fluent Icons","styles":[{"style":"NORMAL","weight":"400","__typename":"FontStyleData"}],"assetNames":["MWFFluentIcons-normal-400.woff2"],"__typename":"CustomFont"}],"__typename":"TypographyThemeSettings"},"unstyledListItem":{"marginBottomSm":"5px","marginBottomMd":"10px","marginBottomLg":"15px","marginBottomXl":"20px","marginBottomXxl":"25px","__typename":"UnstyledListItemThemeSettings"},"yiq":{"light":"#ffffff","dark":"#000000","__typename":"YiqThemeSettings"},"colorLightness":{"primaryDark":0.36,"primaryLight":0.74,"primaryLighter":0.89,"primaryLightest":0.95,"infoDark":0.39,"infoLight":0.72,"infoLighter":0.85,"infoLightest":0.93,"successDark":0.24,"successLight":0.62,"successLighter":0.8,"successLightest":0.91,"warningDark":0.39,"warningLight":0.68,"warningLighter":0.84,"warningLightest":0.93,"dangerDark":0.41,"dangerLight":0.72,"dangerLighter":0.89,"dangerLightest":0.95,"__typename":"ColorLightnessThemeSettings"},"localOverride":false,"__typename":"Theme"},"localOverride":false},"CachedAsset:text:en_US-components/common/EmailVerification-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/common/EmailVerification-1743095130000","value":{"email.verification.title":"Email Verification Required","email.verification.message.update.email":"To participate in the community, you must first verify your email address. The verification email was sent to {email}. To change your email, visit My Settings.","email.verification.message.resend.email":"To participate in the community, you must first verify your email address. The verification email was sent to {email}. Resend email."},"localOverride":false},"CachedAsset:text:en_US-shared/client/components/common/Loading/LoadingDot-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-shared/client/components/common/Loading/LoadingDot-1743095130000","value":{"title":"Loading..."},"localOverride":false},"CachedAsset:quilt:o365.prod:pages/forums/ForumMessagePage:board:ExcelGeneral-1743151338131":{"__typename":"CachedAsset","id":"quilt:o365.prod:pages/forums/ForumMessagePage:board:ExcelGeneral-1743151338131","value":{"id":"ForumMessagePage","container":{"id":"Common","headerProps":{"backgroundImageProps":null,"backgroundColor":null,"addComponents":null,"removeComponents":["community.widget.bannerWidget"],"componentOrder":null,"__typename":"QuiltContainerSectionProps"},"headerComponentProps":{"community.widget.breadcrumbWidget":{"disableLastCrumbForDesktop":false}},"footerProps":null,"footerComponentProps":null,"items":[{"id":"section-1733174818610","layout":"ONE_COLUMN","bgColor":null,"showTitle":null,"showDescription":null,"textPosition":null,"textColor":null,"sectionEditLevel":null,"bgImage":null,"disableSpacing":null,"edgeToEdgeDisplay":null,"fullHeight":null,"showBorder":null,"__typename":"OneColumnQuiltSection","columnMap":{"main":[],"__typename":"OneSectionColumns"}},{"id":"message-list","layout":"MAIN_SIDE","bgColor":null,"showTitle":null,"showDescription":null,"textPosition":null,"textColor":null,"sectionEditLevel":null,"bgImage":null,"disableSpacing":null,"edgeToEdgeDisplay":null,"fullHeight":null,"showBorder":null,"__typename":"MainSideQuiltSection","columnMap":{"main":[{"id":"messages.widget.topicWithThreadedReplyListWidget","className":"lia-topic-with-replies","props":{"editLevel":"CONFIGURE"},"__typename":"QuiltComponent"}],"side":[{"id":"custom.widget.Social_Sharing","className":null,"props":{"widgetVisibility":"signedInOrAnonymous","useTitle":true,"useBackground":true,"title":"Share","lazyLoad":false},"__typename":"QuiltComponent"},{"id":"custom.widget.Featured_Resources","className":null,"props":{"widgetVisibility":"signedInOrAnonymous","useTitle":true,"useBackground":true,"title":"Resources","lazyLoad":false},"__typename":"QuiltComponent"}],"__typename":"MainSideSectionColumns"}}],"__typename":"QuiltContainer"},"__typename":"Quilt","localOverride":false},"localOverride":false},"CachedAsset:text:en_US-pages/forums/ForumMessagePage-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-pages/forums/ForumMessagePage-1743095130000","value":{"title":"{contextMessageSubject} | {communityTitle}","errorMissing":"This message cannot be found","name":"Forum Message Page","section.message-list.title":"Forum Discussion","archivedMessageTitle":"This Content Has Been Archived","section.TqVYTs.title":"Forum Discussion"},"localOverride":false},"CachedAsset:quiltWrapper:o365.prod:Common:1743151134399":{"__typename":"CachedAsset","id":"quiltWrapper:o365.prod:Common:1743151134399","value":{"id":"Common","header":{"backgroundImageProps":{"assetName":null,"backgroundSize":"COVER","backgroundRepeat":"NO_REPEAT","backgroundPosition":"CENTER_CENTER","lastModified":null,"__typename":"BackgroundImageProps"},"backgroundColor":"transparent","items":[{"id":"community.widget.navbarWidget","props":{"showUserName":true,"showRegisterLink":true,"useIconLanguagePicker":true,"useLabelLanguagePicker":true,"className":"QuiltComponent_lia-component-edit-mode__0nCcm","links":{"sideLinks":[],"mainLinks":[{"children":[],"linkType":"INTERNAL","id":"gxcuf89792","params":{},"routeName":"CommunityPage"},{"children":[],"linkType":"EXTERNAL","id":"external-link","url":"/Directory","target":"SELF"},{"children":[{"linkType":"INTERNAL","id":"microsoft365","params":{"categoryId":"microsoft365"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"microsoft-teams","params":{"categoryId":"MicrosoftTeams"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"windows","params":{"categoryId":"Windows"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"microsoft-securityand-compliance","params":{"categoryId":"microsoft-security"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"outlook","params":{"categoryId":"Outlook"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"planner","params":{"categoryId":"Planner"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"windows-server","params":{"categoryId":"Windows-Server"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"azure","params":{"categoryId":"Azure"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"exchange","params":{"categoryId":"Exchange"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"microsoft-endpoint-manager","params":{"categoryId":"microsoft-endpoint-manager"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"s-q-l-server","params":{"categoryId":"SQL-Server"},"routeName":"CategoryPage"},{"linkType":"EXTERNAL","id":"external-link-2","url":"/Directory","target":"SELF"}],"linkType":"EXTERNAL","id":"communities","url":"/","target":"BLANK"},{"children":[{"linkType":"INTERNAL","id":"education-sector","params":{"categoryId":"EducationSector"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"a-i","params":{"categoryId":"AI"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"i-t-ops-talk","params":{"categoryId":"ITOpsTalk"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"partner-community","params":{"categoryId":"PartnerCommunity"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"microsoft-mechanics","params":{"categoryId":"MicrosoftMechanics"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"healthcare-and-life-sciences","params":{"categoryId":"HealthcareAndLifeSciences"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"public-sector","params":{"categoryId":"PublicSector"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"io-t","params":{"categoryId":"IoT"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"driving-adoption","params":{"categoryId":"DrivingAdoption"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"s-m-b","params":{"categoryId":"SMB"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"startupsat-microsoft","params":{"categoryId":"StartupsatMicrosoft"},"routeName":"CategoryPage"},{"linkType":"EXTERNAL","id":"external-link-1","url":"/Directory","target":"SELF"}],"linkType":"EXTERNAL","id":"communities-1","url":"/","target":"SELF"},{"children":[],"linkType":"EXTERNAL","id":"external","url":"/Blogs","target":"SELF"},{"children":[],"linkType":"EXTERNAL","id":"external-1","url":"/Events","target":"SELF"},{"children":[{"linkType":"INTERNAL","id":"microsoft-learn-1","params":{"categoryId":"MicrosoftLearn"},"routeName":"CategoryPage"},{"linkType":"INTERNAL","id":"microsoft-learn-blog","params":{"boardId":"MicrosoftLearnBlog","categoryId":"MicrosoftLearn"},"routeName":"BlogBoardPage"},{"linkType":"EXTERNAL","id":"external-10","url":"https://learningroomdirectory.microsoft.com/","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-3","url":"https://docs.microsoft.com/learn/dynamics365/?WT.mc_id=techcom_header-webpage-m365","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-4","url":"https://docs.microsoft.com/learn/m365/?wt.mc_id=techcom_header-webpage-m365","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-5","url":"https://docs.microsoft.com/learn/topics/sci/?wt.mc_id=techcom_header-webpage-m365","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-6","url":"https://docs.microsoft.com/learn/powerplatform/?wt.mc_id=techcom_header-webpage-powerplatform","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-7","url":"https://docs.microsoft.com/learn/github/?wt.mc_id=techcom_header-webpage-github","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-8","url":"https://docs.microsoft.com/learn/teams/?wt.mc_id=techcom_header-webpage-teams","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-9","url":"https://docs.microsoft.com/learn/dotnet/?wt.mc_id=techcom_header-webpage-dotnet","target":"BLANK"},{"linkType":"EXTERNAL","id":"external-2","url":"https://docs.microsoft.com/learn/azure/?WT.mc_id=techcom_header-webpage-m365","target":"BLANK"}],"linkType":"INTERNAL","id":"microsoft-learn","params":{"categoryId":"MicrosoftLearn"},"routeName":"CategoryPage"},{"children":[],"linkType":"INTERNAL","id":"community-info-center","params":{"categoryId":"Community-Info-Center"},"routeName":"CategoryPage"}]},"style":{"boxShadow":"var(--lia-bs-box-shadow-sm)","controllerHighlightColor":"hsla(30, 100%, 50%)","linkFontWeight":"400","dropdownDividerMarginBottom":"10px","hamburgerBorderHover":"none","linkBoxShadowHover":"none","linkFontSize":"14px","backgroundOpacity":0.8,"controllerBorderRadius":"var(--lia-border-radius-50)","hamburgerBgColor":"transparent","hamburgerColor":"var(--lia-nav-controller-icon-color)","linkTextBorderBottom":"none","brandLogoHeight":"30px","linkBgHoverColor":"transparent","linkLetterSpacing":"normal","collapseMenuDividerOpacity":0.16,"dropdownPaddingBottom":"15px","paddingBottom":"15px","dropdownMenuOffset":"2px","hamburgerBgHoverColor":"transparent","borderBottom":"1px solid var(--lia-bs-border-color)","hamburgerBorder":"none","dropdownPaddingX":"10px","brandMarginRightSm":"10px","linkBoxShadow":"none","collapseMenuDividerBg":"var(--lia-nav-link-color)","linkColor":"var(--lia-bs-body-color)","linkJustifyContent":"flex-start","dropdownPaddingTop":"10px","controllerHighlightTextColor":"var(--lia-yiq-dark)","controllerTextColor":"var(--lia-nav-controller-icon-color)","background":{"imageAssetName":"","color":"var(--lia-bs-white)","size":"COVER","repeat":"NO_REPEAT","position":"CENTER_CENTER","imageLastModified":""},"linkBorderRadius":"var(--lia-bs-border-radius-sm)","linkHoverColor":"var(--lia-bs-body-color)","position":"FIXED","linkBorder":"none","linkTextBorderBottomHover":"2px solid var(--lia-bs-body-color)","brandMarginRight":"30px","hamburgerHoverColor":"var(--lia-nav-controller-icon-color)","linkBorderHover":"none","collapseMenuMarginLeft":"20px","linkFontStyle":"NORMAL","controllerTextHoverColor":"var(--lia-nav-controller-icon-hover-color)","linkPaddingX":"10px","linkPaddingY":"5px","paddingTop":"15px","linkTextTransform":"NONE","dropdownBorderColor":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.08)","controllerBgHoverColor":"hsla(var(--lia-bs-black-h), var(--lia-bs-black-s), var(--lia-bs-black-l), 0.1)","linkBgColor":"transparent","linkDropdownPaddingX":"var(--lia-nav-link-px)","linkDropdownPaddingY":"9px","controllerIconColor":"var(--lia-bs-body-color)","dropdownDividerMarginTop":"10px","linkGap":"10px","controllerIconHoverColor":"var(--lia-bs-body-color)"},"showSearchIcon":false,"languagePickerStyle":"iconAndLabel"},"__typename":"QuiltComponent"},{"id":"community.widget.breadcrumbWidget","props":{"backgroundColor":"transparent","linkHighlightColor":"var(--lia-bs-primary)","visualEffects":{"showBottomBorder":true},"linkTextColor":"var(--lia-bs-gray-700)"},"__typename":"QuiltComponent"},{"id":"custom.widget.community_banner","props":{"widgetVisibility":"signedInOrAnonymous","useTitle":true,"usePageWidth":false,"useBackground":false,"title":"","lazyLoad":false},"__typename":"QuiltComponent"},{"id":"custom.widget.HeroBanner","props":{"widgetVisibility":"signedInOrAnonymous","usePageWidth":false,"useTitle":true,"cMax_items":3,"useBackground":false,"title":"","lazyLoad":false,"widgetChooser":"custom.widget.HeroBanner"},"__typename":"QuiltComponent"}],"__typename":"QuiltWrapperSection"},"footer":{"backgroundImageProps":{"assetName":null,"backgroundSize":"COVER","backgroundRepeat":"NO_REPEAT","backgroundPosition":"CENTER_CENTER","lastModified":null,"__typename":"BackgroundImageProps"},"backgroundColor":"transparent","items":[{"id":"custom.widget.MicrosoftFooter","props":{"widgetVisibility":"signedInOrAnonymous","useTitle":true,"useBackground":false,"title":"","lazyLoad":false},"__typename":"QuiltComponent"}],"__typename":"QuiltWrapperSection"},"__typename":"QuiltWrapper","localOverride":false},"localOverride":false},"CachedAsset:text:en_US-components/common/ActionFeedback-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/common/ActionFeedback-1743095130000","value":{"joinedGroupHub.title":"Welcome","joinedGroupHub.message":"You are now a member of this group and are subscribed to updates.","groupHubInviteNotFound.title":"Invitation Not Found","groupHubInviteNotFound.message":"Sorry, we could not find your invitation to the group. The owner may have canceled the invite.","groupHubNotFound.title":"Group Not Found","groupHubNotFound.message":"The grouphub you tried to join does not exist. It may have been deleted.","existingGroupHubMember.title":"Already Joined","existingGroupHubMember.message":"You are already a member of this group.","accountLocked.title":"Account Locked","accountLocked.message":"Your account has been locked due to multiple failed attempts. Try again in {lockoutTime} minutes.","editedGroupHub.title":"Changes Saved","editedGroupHub.message":"Your group has been updated.","leftGroupHub.title":"Goodbye","leftGroupHub.message":"You are no longer a member of this group and will not receive future updates.","deletedGroupHub.title":"Deleted","deletedGroupHub.message":"The group has been deleted.","groupHubCreated.title":"Group Created","groupHubCreated.message":"{groupHubName} is ready to use","accountClosed.title":"Account Closed","accountClosed.message":"The account has been closed and you will now be redirected to the homepage","resetTokenExpired.title":"Reset Password Link has Expired","resetTokenExpired.message":"Try resetting your password again","invalidUrl.title":"Invalid URL","invalidUrl.message":"The URL you're using is not recognized. Verify your URL and try again.","accountClosedForUser.title":"Account Closed","accountClosedForUser.message":"{userName}'s account is closed","inviteTokenInvalid.title":"Invitation Invalid","inviteTokenInvalid.message":"Your invitation to the community has been canceled or expired.","inviteTokenError.title":"Invitation Verification Failed","inviteTokenError.message":"The url you are utilizing is not recognized. Verify your URL and try again","pageNotFound.title":"Access Denied","pageNotFound.message":"You do not have access to this area of the community or it doesn't exist","eventAttending.title":"Responded as Attending","eventAttending.message":"You'll be notified when there's new activity and reminded as the event approaches","eventInterested.title":"Responded as Interested","eventInterested.message":"You'll be notified when there's new activity and reminded as the event approaches","eventNotFound.title":"Event Not Found","eventNotFound.message":"The event you tried to respond to does not exist.","redirectToRelatedPage.title":"Showing Related Content","redirectToRelatedPageForBaseUsers.title":"Showing Related Content","redirectToRelatedPageForBaseUsers.message":"The content you are trying to access is archived","redirectToRelatedPage.message":"The content you are trying to access is archived","relatedUrl.archivalLink.flyoutMessage":"The content you are trying to access is archived View Archived Content"},"localOverride":false},"CachedAsset:component:custom.widget.community_banner-en-1743151374039":{"__typename":"CachedAsset","id":"component:custom.widget.community_banner-en-1743151374039","value":{"component":{"id":"custom.widget.community_banner","template":{"id":"community_banner","markupLanguage":"HANDLEBARS","style":".community-banner {\n a.top-bar.btn {\n top: 0px;\n width: 100%;\n z-index: 999;\n text-align: center;\n left: 0px;\n background: #0068b8;\n color: white;\n padding: 10px 0px;\n display:block;\n box-shadow:none !important;\n border: none !important;\n border-radius: none !important;\n margin: 0px !important;\n font-size:14px;\n }\n}","texts":null,"defaults":{"config":{"applicablePages":[],"description":"community announcement text","fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[],"__typename":"ComponentProperties"},"components":[{"id":"custom.widget.community_banner","form":null,"config":null,"props":[],"__typename":"Component"}],"grouping":"CUSTOM","__typename":"ComponentTemplate"},"properties":{"config":{"applicablePages":[],"description":"community announcement text","fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[],"__typename":"ComponentProperties"},"form":null,"__typename":"Component","localOverride":false},"globalCss":{"css":".custom_widget_community_banner_community-banner_1a5zb_1 {\n a.custom_widget_community_banner_top-bar_1a5zb_2.custom_widget_community_banner_btn_1a5zb_2 {\n top: 0;\n width: 100%;\n z-index: 999;\n text-align: center;\n left: 0;\n background: #0068b8;\n color: white;\n padding: 0.625rem 0;\n display:block;\n box-shadow:none !important;\n border: none !important;\n border-radius: none !important;\n margin: 0 !important;\n font-size:0.875rem;\n }\n}","tokens":{"community-banner":"custom_widget_community_banner_community-banner_1a5zb_1","top-bar":"custom_widget_community_banner_top-bar_1a5zb_2","btn":"custom_widget_community_banner_btn_1a5zb_2"}},"form":null},"localOverride":false},"CachedAsset:component:custom.widget.HeroBanner-en-1743151374039":{"__typename":"CachedAsset","id":"component:custom.widget.HeroBanner-en-1743151374039","value":{"component":{"id":"custom.widget.HeroBanner","template":{"id":"HeroBanner","markupLanguage":"REACT","style":null,"texts":{"searchPlaceholderText":"Search this community","followActionText":"Follow","unfollowActionText":"Following","searchOnHoverText":"Please enter your search term(s) and then press return key to complete a search."},"defaults":{"config":{"applicablePages":[],"description":null,"fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[{"id":"max_items","dataType":"NUMBER","list":false,"defaultValue":"3","label":"Max Items","description":"The maximum number of items to display in the carousel","possibleValues":null,"control":"INPUT","__typename":"PropDefinition"}],"__typename":"ComponentProperties"},"components":[{"id":"custom.widget.HeroBanner","form":{"fields":[{"id":"widgetChooser","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"title","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"useTitle","validation":null,"noValidation":null,"dataType":"BOOLEAN","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"useBackground","validation":null,"noValidation":null,"dataType":"BOOLEAN","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"widgetVisibility","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"moreOptions","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"cMax_items","validation":null,"noValidation":null,"dataType":"NUMBER","list":false,"control":"INPUT","defaultValue":"3","label":"Max Items","description":"The maximum number of items to display in the carousel","possibleValues":null,"__typename":"FormField"}],"layout":{"rows":[{"id":"widgetChooserGroup","type":"fieldset","as":null,"items":[{"id":"widgetChooser","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"titleGroup","type":"fieldset","as":null,"items":[{"id":"title","className":null,"__typename":"FormFieldRef"},{"id":"useTitle","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"useBackground","type":"fieldset","as":null,"items":[{"id":"useBackground","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"widgetVisibility","type":"fieldset","as":null,"items":[{"id":"widgetVisibility","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"moreOptionsGroup","type":"fieldset","as":null,"items":[{"id":"moreOptions","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"componentPropsGroup","type":"fieldset","as":null,"items":[{"id":"cMax_items","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"}],"actionButtons":null,"className":"custom_widget_HeroBanner_form","formGroupFieldSeparator":"divider","__typename":"FormLayout"},"__typename":"Form"},"config":null,"props":[],"__typename":"Component"}],"grouping":"CUSTOM","__typename":"ComponentTemplate"},"properties":{"config":{"applicablePages":[],"description":null,"fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[{"id":"max_items","dataType":"NUMBER","list":false,"defaultValue":"3","label":"Max Items","description":"The maximum number of items to display in the carousel","possibleValues":null,"control":"INPUT","__typename":"PropDefinition"}],"__typename":"ComponentProperties"},"form":{"fields":[{"id":"widgetChooser","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"title","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"useTitle","validation":null,"noValidation":null,"dataType":"BOOLEAN","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"useBackground","validation":null,"noValidation":null,"dataType":"BOOLEAN","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"widgetVisibility","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"moreOptions","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"cMax_items","validation":null,"noValidation":null,"dataType":"NUMBER","list":false,"control":"INPUT","defaultValue":"3","label":"Max Items","description":"The maximum number of items to display in the carousel","possibleValues":null,"__typename":"FormField"}],"layout":{"rows":[{"id":"widgetChooserGroup","type":"fieldset","as":null,"items":[{"id":"widgetChooser","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"titleGroup","type":"fieldset","as":null,"items":[{"id":"title","className":null,"__typename":"FormFieldRef"},{"id":"useTitle","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"useBackground","type":"fieldset","as":null,"items":[{"id":"useBackground","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"widgetVisibility","type":"fieldset","as":null,"items":[{"id":"widgetVisibility","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"moreOptionsGroup","type":"fieldset","as":null,"items":[{"id":"moreOptions","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"componentPropsGroup","type":"fieldset","as":null,"items":[{"id":"cMax_items","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"}],"actionButtons":null,"className":"custom_widget_HeroBanner_form","formGroupFieldSeparator":"divider","__typename":"FormLayout"},"__typename":"Form"},"__typename":"Component","localOverride":false},"globalCss":null,"form":{"fields":[{"id":"widgetChooser","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"title","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"useTitle","validation":null,"noValidation":null,"dataType":"BOOLEAN","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"useBackground","validation":null,"noValidation":null,"dataType":"BOOLEAN","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"widgetVisibility","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"moreOptions","validation":null,"noValidation":null,"dataType":"STRING","list":null,"control":null,"defaultValue":null,"label":null,"description":null,"possibleValues":null,"__typename":"FormField"},{"id":"cMax_items","validation":null,"noValidation":null,"dataType":"NUMBER","list":false,"control":"INPUT","defaultValue":"3","label":"Max Items","description":"The maximum number of items to display in the carousel","possibleValues":null,"__typename":"FormField"}],"layout":{"rows":[{"id":"widgetChooserGroup","type":"fieldset","as":null,"items":[{"id":"widgetChooser","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"titleGroup","type":"fieldset","as":null,"items":[{"id":"title","className":null,"__typename":"FormFieldRef"},{"id":"useTitle","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"useBackground","type":"fieldset","as":null,"items":[{"id":"useBackground","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"widgetVisibility","type":"fieldset","as":null,"items":[{"id":"widgetVisibility","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"moreOptionsGroup","type":"fieldset","as":null,"items":[{"id":"moreOptions","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"},{"id":"componentPropsGroup","type":"fieldset","as":null,"items":[{"id":"cMax_items","className":null,"__typename":"FormFieldRef"}],"props":null,"legend":null,"description":null,"className":null,"viewVariant":null,"toggleState":null,"__typename":"FormFieldset"}],"actionButtons":null,"className":"custom_widget_HeroBanner_form","formGroupFieldSeparator":"divider","__typename":"FormLayout"},"__typename":"Form"}},"localOverride":false},"CachedAsset:component:custom.widget.Social_Sharing-en-1743151374039":{"__typename":"CachedAsset","id":"component:custom.widget.Social_Sharing-en-1743151374039","value":{"component":{"id":"custom.widget.Social_Sharing","template":{"id":"Social_Sharing","markupLanguage":"HANDLEBARS","style":".social-share {\n .sharing-options {\n position: relative;\n margin: 0;\n padding: 0;\n line-height: 10px;\n display: flex;\n justify-content: left;\n gap: 5px;\n list-style-type: none;\n li {\n text-align: left;\n a {\n min-width: 30px;\n min-height: 30px;\n display: block;\n padding: 1px;\n .social-share-linkedin {\n img {\n background-color: rgb(0, 119, 181);\n }\n }\n .social-share-facebook {\n img {\n background-color: rgb(59, 89, 152);\n }\n }\n .social-share-x {\n img {\n background-color: rgb(0, 0, 0);\n }\n }\n .social-share-rss {\n img {\n background-color: rgb(0, 0, 0);\n }\n }\n .social-share-reddit {\n img {\n background-color: rgb(255, 69, 0);\n }\n }\n .social-share-email {\n img {\n background-color: rgb(132, 132, 132);\n }\n }\n }\n a {\n img {\n height: 2rem;\n }\n }\n }\n }\n}\n","texts":null,"defaults":{"config":{"applicablePages":[],"description":"Adds buttons to share to various social media websites","fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[],"__typename":"ComponentProperties"},"components":[{"id":"custom.widget.Social_Sharing","form":null,"config":null,"props":[],"__typename":"Component"}],"grouping":"CUSTOM","__typename":"ComponentTemplate"},"properties":{"config":{"applicablePages":[],"description":"Adds buttons to share to various social media websites","fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[],"__typename":"ComponentProperties"},"form":null,"__typename":"Component","localOverride":false},"globalCss":{"css":".custom_widget_Social_Sharing_social-share_c7xxz_1 {\n .custom_widget_Social_Sharing_sharing-options_c7xxz_2 {\n position: relative;\n margin: 0;\n padding: 0;\n line-height: 0.625rem;\n display: flex;\n justify-content: left;\n gap: 0.3125rem;\n list-style-type: none;\n li {\n text-align: left;\n a {\n min-width: 1.875rem;\n min-height: 1.875rem;\n display: block;\n padding: 0.0625rem;\n .custom_widget_Social_Sharing_social-share-linkedin_c7xxz_18 {\n img {\n background-color: rgb(0, 119, 181);\n }\n }\n .custom_widget_Social_Sharing_social-share-facebook_c7xxz_23 {\n img {\n background-color: rgb(59, 89, 152);\n }\n }\n .custom_widget_Social_Sharing_social-share-x_c7xxz_28 {\n img {\n background-color: rgb(0, 0, 0);\n }\n }\n .custom_widget_Social_Sharing_social-share-rss_c7xxz_33 {\n img {\n background-color: rgb(0, 0, 0);\n }\n }\n .custom_widget_Social_Sharing_social-share-reddit_c7xxz_38 {\n img {\n background-color: rgb(255, 69, 0);\n }\n }\n .custom_widget_Social_Sharing_social-share-email_c7xxz_43 {\n img {\n background-color: rgb(132, 132, 132);\n }\n }\n }\n a {\n img {\n height: 2rem;\n }\n }\n }\n }\n}\n","tokens":{"social-share":"custom_widget_Social_Sharing_social-share_c7xxz_1","sharing-options":"custom_widget_Social_Sharing_sharing-options_c7xxz_2","social-share-linkedin":"custom_widget_Social_Sharing_social-share-linkedin_c7xxz_18","social-share-facebook":"custom_widget_Social_Sharing_social-share-facebook_c7xxz_23","social-share-x":"custom_widget_Social_Sharing_social-share-x_c7xxz_28","social-share-rss":"custom_widget_Social_Sharing_social-share-rss_c7xxz_33","social-share-reddit":"custom_widget_Social_Sharing_social-share-reddit_c7xxz_38","social-share-email":"custom_widget_Social_Sharing_social-share-email_c7xxz_43"}},"form":null},"localOverride":false},"CachedAsset:component:custom.widget.Featured_Resources-en-1743151374039":{"__typename":"CachedAsset","id":"component:custom.widget.Featured_Resources-en-1743151374039","value":{"component":{"id":"custom.widget.Featured_Resources","template":{"id":"Featured_Resources","markupLanguage":"REACT","style":null,"texts":{"resourceTitle":"Title","titlePlaceholder":"Resource title","urlPlaceholder":"Resource URL","resourceUrl":"URL","addResource":"Add Resource","cancel":"Cancel","removeResource":"Remove Resource","error":"Error","itemNotSaved":"Item not saved. {message}","errorMessage":"An error occurred. Please try again."},"defaults":{"config":{"applicablePages":[],"description":null,"fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[],"__typename":"ComponentProperties"},"components":[{"id":"custom.widget.Featured_Resources","form":null,"config":null,"props":[],"__typename":"Component"}],"grouping":"CUSTOM","__typename":"ComponentTemplate"},"properties":{"config":{"applicablePages":[],"description":null,"fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[],"__typename":"ComponentProperties"},"form":null,"__typename":"Component","localOverride":false},"globalCss":null,"form":null},"localOverride":false},"CachedAsset:component:custom.widget.MicrosoftFooter-en-1743151374039":{"__typename":"CachedAsset","id":"component:custom.widget.MicrosoftFooter-en-1743151374039","value":{"component":{"id":"custom.widget.MicrosoftFooter","template":{"id":"MicrosoftFooter","markupLanguage":"HANDLEBARS","style":".context-uhf {\n min-width: 280px;\n font-size: 15px;\n box-sizing: border-box;\n -ms-text-size-adjust: 100%;\n -webkit-text-size-adjust: 100%;\n & *,\n & *:before,\n & *:after {\n box-sizing: inherit;\n }\n a.c-uhff-link {\n color: #616161;\n word-break: break-word;\n text-decoration: none;\n }\n &a:link,\n &a:focus,\n &a:hover,\n &a:active,\n &a:visited {\n text-decoration: none;\n color: inherit;\n }\n & div {\n font-family: 'Segoe UI', SegoeUI, 'Helvetica Neue', Helvetica, Arial, sans-serif;\n }\n}\n.c-uhff {\n background: #f2f2f2;\n margin: -1.5625;\n width: auto;\n height: auto;\n}\n.c-uhff-nav {\n margin: 0 auto;\n max-width: calc(1600px + 10%);\n padding: 0 5%;\n box-sizing: inherit;\n &:before,\n &:after {\n content: ' ';\n display: table;\n clear: left;\n }\n @media only screen and (max-width: 1083px) {\n padding-left: 12px;\n }\n .c-heading-4 {\n color: #616161;\n word-break: break-word;\n font-size: 15px;\n line-height: 20px;\n padding: 36px 0 4px;\n font-weight: 600;\n }\n .c-uhff-nav-row {\n .c-uhff-nav-group {\n display: block;\n float: left;\n min-height: 1px;\n vertical-align: text-top;\n padding: 0 12px;\n width: 100%;\n zoom: 1;\n &:first-child {\n padding-left: 0;\n @media only screen and (max-width: 1083px) {\n padding-left: 12px;\n }\n }\n @media only screen and (min-width: 540px) and (max-width: 1082px) {\n width: 33.33333%;\n }\n @media only screen and (min-width: 1083px) {\n width: 16.6666666667%;\n }\n ul.c-list.f-bare {\n font-size: 11px;\n line-height: 16px;\n margin-top: 0;\n margin-bottom: 0;\n padding-left: 0;\n list-style-type: none;\n li {\n word-break: break-word;\n padding: 8px 0;\n margin: 0;\n }\n }\n }\n }\n}\n.c-uhff-base {\n background: #f2f2f2;\n margin: 0 auto;\n max-width: calc(1600px + 10%);\n padding: 30px 5% 16px;\n &:before,\n &:after {\n content: ' ';\n display: table;\n }\n &:after {\n clear: both;\n }\n a.c-uhff-ccpa {\n font-size: 11px;\n line-height: 16px;\n float: left;\n margin: 3px 0;\n }\n a.c-uhff-ccpa:hover {\n text-decoration: underline;\n }\n ul.c-list {\n font-size: 11px;\n line-height: 16px;\n float: right;\n margin: 3px 0;\n color: #616161;\n li {\n padding: 0 24px 4px 0;\n display: inline-block;\n }\n }\n .c-list.f-bare {\n padding-left: 0;\n list-style-type: none;\n }\n @media only screen and (max-width: 1083px) {\n display: flex;\n flex-wrap: wrap;\n padding: 30px 24px 16px;\n }\n}\n","texts":{"New tab":"What's New","New 1":"Surface Laptop Studio 2","New 2":"Surface Laptop Go 3","New 3":"Surface Pro 9","New 4":"Surface Laptop 5","New 5":"Surface Studio 2+","New 6":"Copilot in Windows","New 7":"Microsoft 365","New 8":"Windows 11 apps","Store tab":"Microsoft Store","Store 1":"Account Profile","Store 2":"Download Center","Store 3":"Microsoft Store Support","Store 4":"Returns","Store 5":"Order tracking","Store 6":"Certified Refurbished","Store 7":"Microsoft Store Promise","Store 8":"Flexible Payments","Education tab":"Education","Edu 1":"Microsoft in education","Edu 2":"Devices for education","Edu 3":"Microsoft Teams for Education","Edu 4":"Microsoft 365 Education","Edu 5":"How to buy for your school","Edu 6":"Educator Training and development","Edu 7":"Deals for students and parents","Edu 8":"Azure for students","Business tab":"Business","Bus 1":"Microsoft Cloud","Bus 2":"Microsoft Security","Bus 3":"Dynamics 365","Bus 4":"Microsoft 365","Bus 5":"Microsoft Power Platform","Bus 6":"Microsoft Teams","Bus 7":"Microsoft Industry","Bus 8":"Small Business","Developer tab":"Developer & IT","Dev 1":"Azure","Dev 2":"Developer Center","Dev 3":"Documentation","Dev 4":"Microsoft Learn","Dev 5":"Microsoft Tech Community","Dev 6":"Azure Marketplace","Dev 7":"AppSource","Dev 8":"Visual Studio","Company tab":"Company","Com 1":"Careers","Com 2":"About Microsoft","Com 3":"Company News","Com 4":"Privacy at Microsoft","Com 5":"Investors","Com 6":"Diversity and inclusion","Com 7":"Accessiblity","Com 8":"Sustainibility"},"defaults":{"config":{"applicablePages":[],"description":"The Microsoft Footer","fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[],"__typename":"ComponentProperties"},"components":[{"id":"custom.widget.MicrosoftFooter","form":null,"config":null,"props":[],"__typename":"Component"}],"grouping":"CUSTOM","__typename":"ComponentTemplate"},"properties":{"config":{"applicablePages":[],"description":"The Microsoft Footer","fetchedContent":null,"__typename":"ComponentConfiguration"},"props":[],"__typename":"ComponentProperties"},"form":null,"__typename":"Component","localOverride":false},"globalCss":{"css":".custom_widget_MicrosoftFooter_context-uhf_f95yq_1 {\n min-width: 17.5rem;\n font-size: 0.9375rem;\n box-sizing: border-box;\n -ms-text-size-adjust: 100%;\n -webkit-text-size-adjust: 100%;\n & *,\n & *:before,\n & *:after {\n box-sizing: inherit;\n }\n a.custom_widget_MicrosoftFooter_c-uhff-link_f95yq_12 {\n color: #616161;\n word-break: break-word;\n text-decoration: none;\n }\n &a:link,\n &a:focus,\n &a:hover,\n &a:active,\n &a:visited {\n text-decoration: none;\n color: inherit;\n }\n & div {\n font-family: 'Segoe UI', SegoeUI, 'Helvetica Neue', Helvetica, Arial, sans-serif;\n }\n}\n.custom_widget_MicrosoftFooter_c-uhff_f95yq_12 {\n background: #f2f2f2;\n margin: -1.5625;\n width: auto;\n height: auto;\n}\n.custom_widget_MicrosoftFooter_c-uhff-nav_f95yq_35 {\n margin: 0 auto;\n max-width: calc(100rem + 10%);\n padding: 0 5%;\n box-sizing: inherit;\n &:before,\n &:after {\n content: ' ';\n display: table;\n clear: left;\n }\n @media only screen and (max-width: 1083px) {\n padding-left: 0.75rem;\n }\n .custom_widget_MicrosoftFooter_c-heading-4_f95yq_49 {\n color: #616161;\n word-break: break-word;\n font-size: 0.9375rem;\n line-height: 1.25rem;\n padding: 2.25rem 0 0.25rem;\n font-weight: 600;\n }\n .custom_widget_MicrosoftFooter_c-uhff-nav-row_f95yq_57 {\n .custom_widget_MicrosoftFooter_c-uhff-nav-group_f95yq_58 {\n display: block;\n float: left;\n min-height: 0.0625rem;\n vertical-align: text-top;\n padding: 0 0.75rem;\n width: 100%;\n zoom: 1;\n &:first-child {\n padding-left: 0;\n @media only screen and (max-width: 1083px) {\n padding-left: 0.75rem;\n }\n }\n @media only screen and (min-width: 540px) and (max-width: 1082px) {\n width: 33.33333%;\n }\n @media only screen and (min-width: 1083px) {\n width: 16.6666666667%;\n }\n ul.custom_widget_MicrosoftFooter_c-list_f95yq_78.custom_widget_MicrosoftFooter_f-bare_f95yq_78 {\n font-size: 0.6875rem;\n line-height: 1rem;\n margin-top: 0;\n margin-bottom: 0;\n padding-left: 0;\n list-style-type: none;\n li {\n word-break: break-word;\n padding: 0.5rem 0;\n margin: 0;\n }\n }\n }\n }\n}\n.custom_widget_MicrosoftFooter_c-uhff-base_f95yq_94 {\n background: #f2f2f2;\n margin: 0 auto;\n max-width: calc(100rem + 10%);\n padding: 1.875rem 5% 1rem;\n &:before,\n &:after {\n content: ' ';\n display: table;\n }\n &:after {\n clear: both;\n }\n a.custom_widget_MicrosoftFooter_c-uhff-ccpa_f95yq_107 {\n font-size: 0.6875rem;\n line-height: 1rem;\n float: left;\n margin: 0.1875rem 0;\n }\n a.custom_widget_MicrosoftFooter_c-uhff-ccpa_f95yq_107:hover {\n text-decoration: underline;\n }\n ul.custom_widget_MicrosoftFooter_c-list_f95yq_78 {\n font-size: 0.6875rem;\n line-height: 1rem;\n float: right;\n margin: 0.1875rem 0;\n color: #616161;\n li {\n padding: 0 1.5rem 0.25rem 0;\n display: inline-block;\n }\n }\n .custom_widget_MicrosoftFooter_c-list_f95yq_78.custom_widget_MicrosoftFooter_f-bare_f95yq_78 {\n padding-left: 0;\n list-style-type: none;\n }\n @media only screen and (max-width: 1083px) {\n display: flex;\n flex-wrap: wrap;\n padding: 1.875rem 1.5rem 1rem;\n }\n}\n","tokens":{"context-uhf":"custom_widget_MicrosoftFooter_context-uhf_f95yq_1","c-uhff-link":"custom_widget_MicrosoftFooter_c-uhff-link_f95yq_12","c-uhff":"custom_widget_MicrosoftFooter_c-uhff_f95yq_12","c-uhff-nav":"custom_widget_MicrosoftFooter_c-uhff-nav_f95yq_35","c-heading-4":"custom_widget_MicrosoftFooter_c-heading-4_f95yq_49","c-uhff-nav-row":"custom_widget_MicrosoftFooter_c-uhff-nav-row_f95yq_57","c-uhff-nav-group":"custom_widget_MicrosoftFooter_c-uhff-nav-group_f95yq_58","c-list":"custom_widget_MicrosoftFooter_c-list_f95yq_78","f-bare":"custom_widget_MicrosoftFooter_f-bare_f95yq_78","c-uhff-base":"custom_widget_MicrosoftFooter_c-uhff-base_f95yq_94","c-uhff-ccpa":"custom_widget_MicrosoftFooter_c-uhff-ccpa_f95yq_107"}},"form":null},"localOverride":false},"CachedAsset:text:en_US-components/community/Breadcrumb-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/community/Breadcrumb-1743095130000","value":{"navLabel":"Breadcrumbs","dropdown":"Additional parent page navigation"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageBanner-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageBanner-1743095130000","value":{"messageMarkedAsSpam":"This post has been marked as spam","messageMarkedAsSpam@board:TKB":"This article has been marked as spam","messageMarkedAsSpam@board:BLOG":"This post has been marked as spam","messageMarkedAsSpam@board:FORUM":"This discussion has been marked as spam","messageMarkedAsSpam@board:OCCASION":"This event has been marked as spam","messageMarkedAsSpam@board:IDEA":"This idea has been marked as spam","manageSpam":"Manage Spam","messageMarkedAsAbuse":"This post has been marked as abuse","messageMarkedAsAbuse@board:TKB":"This article has been marked as abuse","messageMarkedAsAbuse@board:BLOG":"This post has been marked as abuse","messageMarkedAsAbuse@board:FORUM":"This discussion has been marked as abuse","messageMarkedAsAbuse@board:OCCASION":"This event has been marked as abuse","messageMarkedAsAbuse@board:IDEA":"This idea has been marked as abuse","preModCommentAuthorText":"This comment will be published as soon as it is approved","preModCommentModeratorText":"This comment is awaiting moderation","messageMarkedAsOther":"This post has been rejected due to other reasons","messageMarkedAsOther@board:TKB":"This article has been rejected due to other reasons","messageMarkedAsOther@board:BLOG":"This post has been rejected due to other reasons","messageMarkedAsOther@board:FORUM":"This discussion has been rejected due to other reasons","messageMarkedAsOther@board:OCCASION":"This event has been rejected due to other reasons","messageMarkedAsOther@board:IDEA":"This idea has been rejected due to other reasons","messageArchived":"This post was archived on {date}","relatedUrl":"View Related Content","relatedContentText":"Showing related content","archivedContentLink":"View Archived Content"},"localOverride":false},"Category:category:Exchange":{"__typename":"Category","id":"category:Exchange","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:Planner":{"__typename":"Category","id":"category:Planner","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:Outlook":{"__typename":"Category","id":"category:Outlook","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:Community-Info-Center":{"__typename":"Category","id":"category:Community-Info-Center","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:EducationSector":{"__typename":"Category","id":"category:EducationSector","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:DrivingAdoption":{"__typename":"Category","id":"category:DrivingAdoption","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:Azure":{"__typename":"Category","id":"category:Azure","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:Windows-Server":{"__typename":"Category","id":"category:Windows-Server","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:SQL-Server":{"__typename":"Category","id":"category:SQL-Server","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:MicrosoftTeams":{"__typename":"Category","id":"category:MicrosoftTeams","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:PublicSector":{"__typename":"Category","id":"category:PublicSector","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:IoT":{"__typename":"Category","id":"category:IoT","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:HealthcareAndLifeSciences":{"__typename":"Category","id":"category:HealthcareAndLifeSciences","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:SMB":{"__typename":"Category","id":"category:SMB","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:ITOpsTalk":{"__typename":"Category","id":"category:ITOpsTalk","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:microsoft-endpoint-manager":{"__typename":"Category","id":"category:microsoft-endpoint-manager","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:MicrosoftLearn":{"__typename":"Category","id":"category:MicrosoftLearn","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Blog:board:MicrosoftLearnBlog":{"__typename":"Blog","id":"board:MicrosoftLearnBlog","blogPolicies":{"__typename":"BlogPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}},"boardPolicies":{"__typename":"BoardPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:AI":{"__typename":"Category","id":"category:AI","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:MicrosoftMechanics":{"__typename":"Category","id":"category:MicrosoftMechanics","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:StartupsatMicrosoft":{"__typename":"Category","id":"category:StartupsatMicrosoft","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:PartnerCommunity":{"__typename":"Category","id":"category:PartnerCommunity","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:Windows":{"__typename":"Category","id":"category:Windows","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"Category:category:microsoft-security":{"__typename":"Category","id":"category:microsoft-security","categoryPolicies":{"__typename":"CategoryPolicies","canReadNode":{"__typename":"PolicyResult","failureReason":null}}},"CachedAsset:text:en_US-components/community/Navbar-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/community/Navbar-1743095130000","value":{"community":"Community Home","inbox":"Inbox","manageContent":"Manage Content","tos":"Terms of Service","forgotPassword":"Forgot Password","themeEditor":"Theme Editor","edit":"Edit Navigation Bar","skipContent":"Skip to content","gxcuf89792":"Tech Community","external-1":"Events","s-m-b":"Small and Medium Businesses","windows-server":"Windows Server","education-sector":"Education Sector","driving-adoption":"Driving Adoption","microsoft-learn":"Microsoft Learn","s-q-l-server":"SQL Server","partner-community":"Microsoft Partner Community","microsoft365":"Microsoft 365","external-9":".NET","external-8":"Teams","external-7":"Github","products-services":"Products","external-6":"Power Platform","communities-1":"Topics","external-5":"Microsoft Security","planner":"Planner","external-4":"Microsoft 365","external-3":"Dynamics 365","azure":"Azure","healthcare-and-life-sciences":"Healthcare and Life Sciences","external-2":"Azure","microsoft-mechanics":"Microsoft Mechanics","microsoft-learn-1":"Community","external-10":"Learning Room Directory","microsoft-learn-blog":"Blog","windows":"Windows","i-t-ops-talk":"ITOps Talk","external-link-1":"View All","microsoft-securityand-compliance":"Microsoft Security","public-sector":"Public Sector","community-info-center":"Lounge","external-link-2":"View All","microsoft-teams":"Microsoft Teams","external":"Blogs","microsoft-endpoint-manager":"Microsoft Intune and Configuration Manager","startupsat-microsoft":"Startups at Microsoft","exchange":"Exchange","a-i":"AI and Machine Learning","io-t":"Internet of Things (IoT)","outlook":"Outlook","external-link":"Community Hubs","communities":"Products"},"localOverride":false},"CachedAsset:text:en_US-components/community/NavbarHamburgerDropdown-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/community/NavbarHamburgerDropdown-1743095130000","value":{"hamburgerLabel":"Side Menu"},"localOverride":false},"CachedAsset:text:en_US-components/community/BrandLogo-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/community/BrandLogo-1743095130000","value":{"logoAlt":"Khoros","themeLogoAlt":"Brand Logo"},"localOverride":false},"CachedAsset:text:en_US-components/community/NavbarTextLinks-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/community/NavbarTextLinks-1743095130000","value":{"more":"More"},"localOverride":false},"CachedAsset:text:en_US-components/authentication/AuthenticationLink-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/authentication/AuthenticationLink-1743095130000","value":{"title.login":"Sign In","title.registration":"Register","title.forgotPassword":"Forgot Password","title.multiAuthLogin":"Sign In"},"localOverride":false},"CachedAsset:text:en_US-components/nodes/NodeLink-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/nodes/NodeLink-1743095130000","value":{"place":"Place {name}"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageView/MessageViewStandard-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageView/MessageViewStandard-1743095130000","value":{"anonymous":"Anonymous","author":"{messageAuthorLogin}","authorBy":"{messageAuthorLogin}","board":"{messageBoardTitle}","replyToUser":" to {parentAuthor}","showMoreReplies":"Show More","replyText":"Reply","repliesText":"Replies","markedAsSolved":"Marked as Solved","movedMessagePlaceholder.BLOG":"{count, plural, =0 {This comment has been} other {These comments have been} }","movedMessagePlaceholder.TKB":"{count, plural, =0 {This comment has been} other {These comments have been} }","movedMessagePlaceholder.FORUM":"{count, plural, =0 {This reply has been} other {These replies have been} }","movedMessagePlaceholder.IDEA":"{count, plural, =0 {This comment has been} other {These comments have been} }","movedMessagePlaceholder.OCCASION":"{count, plural, =0 {This comment has been} other {These comments have been} }","movedMessagePlaceholderUrlText":"moved.","messageStatus":"Status: ","statusChanged":"Status changed: {previousStatus} to {currentStatus}","statusAdded":"Status added: {status}","statusRemoved":"Status removed: {status}","labelExpand":"expand replies","labelCollapse":"collapse replies","unhelpfulReason.reason1":"Content is outdated","unhelpfulReason.reason2":"Article is missing information","unhelpfulReason.reason3":"Content is for a different Product","unhelpfulReason.reason4":"Doesn't match what I was searching for"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageDeepLink-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageDeepLink-1743095130000","value":{"viewFullDiscussion@board:FORUM":"View Full Discussion ({repliesCount} Replies)","viewFullDiscussion@board:BLOG":"View Full Discussion ({repliesCount} Comments)","viewFullDiscussion@board:TKB":"View Full Discussion ({repliesCount} Comments)","viewFullDiscussion@board:IDEA":"View Full Discussion ({repliesCount} Comments)","viewFullDiscussion@board:OCCASION":"View Full Discussion ({repliesCount} Comments)","showParents@board:FORUM":"Show Parent Replies","showParents@board:BLOG":"Show Parent Comments","showParents@board:TKB":"Show Parent Comments","showParents@board:IDEA":"Show Parent Comments","showParents@board:OCCASION":"Show Parent Comments"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageReplyCallToAction-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageReplyCallToAction-1743095130000","value":{"leaveReply":"Leave a reply...","leaveReply@board:BLOG@message:root":"Leave a comment...","leaveReply@board:TKB@message:root":"Leave a comment...","leaveReply@board:IDEA@message:root":"Leave a comment...","leaveReply@board:OCCASION@message:root":"Leave a comment...","repliesTurnedOff.FORUM":"Replies are turned off for this topic","repliesTurnedOff.BLOG":"Comments are turned off for this topic","repliesTurnedOff.TKB":"Comments are turned off for this topic","repliesTurnedOff.IDEA":"Comments are turned off for this topic","repliesTurnedOff.OCCASION":"Comments are turned off for this topic","infoText":"Stop poking me!"},"localOverride":false},"CachedAsset:text:en_US-components/community/NavbarDropdownToggle-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/community/NavbarDropdownToggle-1743095130000","value":{"ariaLabelClosed":"Press the down arrow to open the menu"},"localOverride":false},"CachedAsset:text:en_US-shared/client/components/common/QueryHandler-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-shared/client/components/common/QueryHandler-1743095130000","value":{"title":"Query Handler"},"localOverride":false},"CachedAsset:text:en_US-components/messages/EscalatedMessageBanner-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/messages/EscalatedMessageBanner-1743095130000","value":{"escalationMessage":"Escalated to Salesforce by {username} on {date}","viewDetails":"View Details","modalTitle":"Case Details","escalatedBy":"Escalated by: ","escalatedOn":"Escalated on: ","caseNumber":"Case Number: ","status":"Status: ","lastUpdateDate":"Last Update: ","automaticEscalation":"automatic escalation","anonymous":"Anonymous"},"localOverride":false},"CachedAsset:text:en_US-components/users/UserLink-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/users/UserLink-1743095130000","value":{"authorName":"View Profile: {author}","anonymous":"Anonymous"},"localOverride":false},"CachedAsset:text:en_US-shared/client/components/users/UserRank-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-shared/client/components/users/UserRank-1743095130000","value":{"rankName":"{rankName}","userRank":"Author rank {rankName}"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageTime-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageTime-1743095130000","value":{"postTime":"Published: {time}","lastPublishTime":"Last Update: {time}","conversation.lastPostingActivityTime":"Last posting activity time: {time}","conversation.lastPostTime":"Last post time: {time}","moderationData.rejectTime":"Rejected time: {time}"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageSolvedBadge-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageSolvedBadge-1743095130000","value":{"solved":"Solved"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageSubject-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageSubject-1743095130000","value":{"noSubject":"(no subject)"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageBody-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageBody-1743095130000","value":{"showMessageBody":"Show More","mentionsErrorTitle":"{mentionsType, select, board {Board} user {User} message {Message} other {}} No Longer Available","mentionsErrorMessage":"The {mentionsType} you are trying to view has been removed from the community.","videoProcessing":"Video is being processed. Please try again in a few minutes.","bannerTitle":"Video provider requires cookies to play the video. Accept to continue or {url} it directly on the provider's site.","buttonTitle":"Accept","urlText":"watch"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageCustomFields-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageCustomFields-1743095130000","value":{"CustomField.default.label":"Value of {name}"},"localOverride":false},"CachedAsset:text:en_US-components/messages/MessageReplyButton-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/messages/MessageReplyButton-1743095130000","value":{"repliesCount":"{count}","title":"Reply","title@board:BLOG@message:root":"Comment","title@board:TKB@message:root":"Comment","title@board:IDEA@message:root":"Comment","title@board:OCCASION@message:root":"Comment"},"localOverride":false},"Rank:rank:32":{"__typename":"Rank","id":"rank:32","position":13,"name":"Silver Contributor","color":"333333","icon":null,"rankStyle":"TEXT"},"User:user:570951":{"__typename":"User","id":"user:570951","uid":570951,"login":"mtarler","deleted":false,"avatar":{"__typename":"UserAvatar","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/images/dS01NzA5NTEtMTk3ODgyaTZBNjA0OUI0NzBDMTQyODM"},"rank":{"__ref":"Rank:rank:32"},"email":"","messagesCount":2901,"biography":null,"topicsCount":19,"kudosReceivedCount":653,"kudosGivenCount":603,"kudosWeight":1,"registrationData":{"__typename":"RegistrationData","status":null,"registrationTime":"2020-02-28T14:00:54.324-08:00","confirmEmailStatus":null},"followersCount":null,"solutionsCount":424},"ModerationData:moderation_data:3685726":{"__typename":"ModerationData","id":"moderation_data:3685726","status":"APPROVED","rejectReason":null,"isReportedAbuse":false,"rejectUser":null,"rejectTime":null,"rejectActorType":null},"ModerationData:moderation_data:3685629":{"__typename":"ModerationData","id":"moderation_data:3685629","status":"APPROVED","rejectReason":null},"ModerationData:moderation_data:3685540":{"__typename":"ModerationData","id":"moderation_data:3685540","status":"APPROVED","rejectReason":null},"ForumReplyMessage:message:3685540":{"__typename":"ForumReplyMessage","id":"message:3685540","revisionNum":2,"uid":3685540,"depth":1,"hasGivenKudo":false,"subscribed":false,"board":{"__ref":"Forum:board:ExcelGeneral"},"conversation":{"__ref":"Conversation:conversation:3685399"},"subject":"Re: Engineering Dynamics Problem","readOnly":false,"editFrozen":false,"moderationData":{"__ref":"ModerationData:moderation_data:3685540"},"body":"

ngerdes so first off you say you found the correct equation for acceleration but I don't think so.  It's been a loooong time since I took statics and dynamics but your sum of the Fy forces appears to add normal forces that are on an angle to the vertical with gravitational forces on the masses which are vertical ...  I don't think they add that way.  Further more you are summing them up equally and maybe they can or do end up summing that way but I suspect the whole point of specifically noting the location of the sandbag further back is to make you calculate the individual component values for the the normal forces on each pair of wheels.  I am also confused because you are given coefficient of STATIC friction but the system is in motion so you should be using coefficient of dynamic friction (you know how it is harder to get something to start moving but once it is moving it is easier to keep it moving).  So those issues aside I want to also introduce you to excel NAMES (if you don't know already).  So under Formulas and then Name Manager.  In this name manager you can add all the constants and then corresponding variables.  For example:

 

As you can see I added a bunch of the constants and then started to add some calculated values like the highlighted line is the weight (force) of the sandbag so it is g * Smass.  So instead of doing the calculation in a cell on the worksheet you can define it as a name.  You could also do it in a cell (e.g. cell D5) and then you can define a name to be =$D$5 and then use that name.

Finally it appears the prof wants you to do a sequential formula where each row uses the previous row.  So in the first row calculate or type the initial values (e.g. in D5 you type 29 or using the above names you could type =v_i).  Then in D6 you type something like =D5 - acc * dt where acc is the acceleration and dt is the time delta.  Then as you copy that cell down, each copy will refer to the cell above it (just like D6 referred to D5 then D7 will refer to D6 and so on).

I hope that helps.

","body@stringLength":"2799","rawBody":"

 so first off you say you found the correct equation for acceleration but I don't think so.  It's been a loooong time since I took statics and dynamics but your sum of the Fy forces appears to add normal forces that are on an angle to the vertical with gravitational forces on the masses which are vertical ...  I don't think they add that way.  Further more you are summing them up equally and maybe they can or do end up summing that way but I suspect the whole point of specifically noting the location of the sandbag further back is to make you calculate the individual component values for the the normal forces on each pair of wheels.  I am also confused because you are given coefficient of STATIC friction but the system is in motion so you should be using coefficient of dynamic friction (you know how it is harder to get something to start moving but once it is moving it is easier to keep it moving).  So those issues aside I want to also introduce you to excel NAMES (if you don't know already).  So under Formulas and then Name Manager.  In this name manager you can add all the constants and then corresponding variables.  For example:

 

As you can see I added a bunch of the constants and then started to add some calculated values like the highlighted line is the weight (force) of the sandbag so it is g * Smass.  So instead of doing the calculation in a cell on the worksheet you can define it as a name.  You could also do it in a cell (e.g. cell D5) and then you can define a name to be =$D$5 and then use that name.

Finally it appears the prof wants you to do a sequential formula where each row uses the previous row.  So in the first row calculate or type the initial values (e.g. in D5 you type 29 or using the above names you could type =v_i).  Then in D6 you type something like =D5 - acc * dt where acc is the acceleration and dt is the time delta.  Then as you copy that cell down, each copy will refer to the cell above it (just like D6 referred to D5 then D7 will refer to D6 and so on).

I hope that helps.

","author":{"__ref":"User:user:570951"},"isEscalated":null,"postTime":"2022-11-28T11:17:52.327-08:00","parent":{"__ref":"ForumTopicMessage:message:3685399"}},"ForumReplyMessage:message:3685629":{"__typename":"ForumReplyMessage","id":"message:3685629","revisionNum":1,"uid":3685629,"depth":2,"hasGivenKudo":false,"subscribed":false,"board":{"__ref":"Forum:board:ExcelGeneral"},"conversation":{"__ref":"Conversation:conversation:3685399"},"subject":"Re: Engineering Dynamics Problem","readOnly":false,"editFrozen":false,"moderationData":{"__ref":"ModerationData:moderation_data:3685629"},"body":"

mtarler Thank you tons for introducing me to NAMES. I understand your concerns in the first portion of the comment and I thought the same thing at first. The sum of forces in the y-direction doesn't take into account the incline because of small angle approximation (i.e. it's really close to 1 so it would add unneeded complexity). For the coefficient of friction, we are assuming the truck is on an ice road and it's wheels are just about to slip, not already slipping because of modern technology like ABS. Hope that makes sense and makes you more confident in my equation.

I attached a few pictures of what my spreadsheet looks like and the equations/formulas I used. It seems like I went wrong somewhere because velocity drops to nearly zero immediately then rises as the cells move down. It should gradually decrease until velocity is zero, which would indicate the displacement (s) it traveled.

","body@stringLength":"3570","rawBody":"

 Thank you tons for introducing me to NAMES. I understand your concerns in the first portion of the comment and I thought the same thing at first. The sum of forces in the y-direction doesn't take into account the incline because of small angle approximation (i.e. it's really close to 1 so it would add unneeded complexity). For the coefficient of friction, we are assuming the truck is on an ice road and it's wheels are just about to slip, not already slipping because of modern technology like ABS. Hope that makes sense and makes you more confident in my equation.

I attached a few pictures of what my spreadsheet looks like and the equations/formulas I used. It seems like I went wrong somewhere because velocity drops to nearly zero immediately then rises as the cells move down. It should gradually decrease until velocity is zero, which would indicate the displacement (s) it traveled.

","author":{"__ref":"User:user:1630262"},"isEscalated":null,"postTime":"2022-11-28T13:11:02.682-08:00","parent":{"__ref":"ForumReplyMessage:message:3685540"},"customFields":[],"attachments":{"__typename":"AttachmentConnection","edges":[],"pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null}},"repliesCount":1},"Revision:revision:3685726_1":{"__typename":"Revision","id":"revision:3685726_1","lastEditTime":"2022-11-28T15:31:11.311-08:00"},"QueryVariables:ReplyList:message:3685726:1":{"__typename":"QueryVariables","id":"ReplyList:message:3685726:1","value":{"id":"message:3685726","first":10,"sorts":{"postTime":{"direction":"DESC"}},"repliesFirst":3,"repliesFirstDepthThree":1,"repliesSorts":{"postTime":{"direction":"DESC"}},"useAvatar":true,"useAuthorLogin":true,"useAuthorRank":true,"useBody":true,"useKudosCount":true,"useTimeToRead":false,"useMedia":false,"useReadOnlyIcon":false,"useRepliesCount":true,"useSearchSnippet":false,"useAcceptedSolutionButton":true,"useSolvedBadge":false,"useAttachments":false,"attachmentsFirst":5,"useTags":false,"useNodeAncestors":false,"useUserHoverCard":false,"useNodeHoverCard":false,"useModerationStatus":true,"usePreviewSubjectModal":false,"useMessageStatus":true}},"ROOT_MUTATION":{"__typename":"Mutation"},"CachedAsset:text:en_US-shared/client/components/users/UserAvatar-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-shared/client/components/users/UserAvatar-1743095130000","value":{"altText":"{login}'s avatar","altTextGeneric":"User's avatar"},"localOverride":false},"CachedAsset:text:en_US-shared/client/components/ranks/UserRankLabel-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-shared/client/components/ranks/UserRankLabel-1743095130000","value":{"altTitle":"Icon for {rankName} rank"},"localOverride":false},"CachedAsset:text:en_US-components/messages/AcceptedSolutionButton-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/messages/AcceptedSolutionButton-1743095130000","value":{"accept":"Mark as Solution","accepted":"Marked as Solution","errorHeader":"Error!","errorAdd":"There was an error marking as solution.","errorRemove":"There was an error unmarking as solution.","solved":"Solved"},"localOverride":false},"CachedAsset:text:en_US-components/messages/ThreadedReplyList-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/messages/ThreadedReplyList-1743095130000","value":{"title":"{count, plural, one{# Reply} other{# Replies}}","title@board:BLOG":"{count, plural, one{# Comment} other{# Comments}}","title@board:TKB":"{count, plural, one{# Comment} other{# Comments}}","title@board:IDEA":"{count, plural, one{# Comment} other{# Comments}}","title@board:OCCASION":"{count, plural, one{# Comment} other{# Comments}}","noRepliesTitle":"No Replies","noRepliesTitle@board:BLOG":"No Comments","noRepliesTitle@board:TKB":"No Comments","noRepliesTitle@board:IDEA":"No Comments","noRepliesTitle@board:OCCASION":"No Comments","noRepliesDescription":"Be the first to reply","noRepliesDescription@board:BLOG":"Be the first to comment","noRepliesDescription@board:TKB":"Be the first to comment","noRepliesDescription@board:IDEA":"Be the first to comment","noRepliesDescription@board:OCCASION":"Be the first to comment","messageReadOnlyAlert:BLOG":"Comments have been turned off for this post","messageReadOnlyAlert:TKB":"Comments have been turned off for this article","messageReadOnlyAlert:IDEA":"Comments have been turned off for this idea","messageReadOnlyAlert:FORUM":"Replies have been turned off for this discussion","messageReadOnlyAlert:OCCASION":"Comments have been turned off for this event"},"localOverride":false},"CachedAsset:text:en_US-components/tags/TagView/TagViewChip-1743095130000":{"__typename":"CachedAsset","id":"text:en_US-components/tags/TagView/TagViewChip-1743095130000","value":{"tagLabelName":"Tag name {tagName}"},"localOverride":false}}}},"page":"/forums/ForumMessagePage/ForumMessagePage","query":{"boardId":"excelgeneral","messageSubject":"engineering-dynamics-problem","messageId":"3685399","replyId":"3685726"},"buildId":"HEhyUrv5OXNBIbfCLaOrw","runtimeConfig":{"buildInformationVisible":false,"logLevelApp":"info","logLevelMetrics":"info","openTelemetryClientEnabled":false,"openTelemetryConfigName":"o365","openTelemetryServiceVersion":"25.1.0","openTelemetryUniverse":"prod","openTelemetryCollector":"http://localhost:4318","openTelemetryRouteChangeAllowedTime":"5000","apolloDevToolsEnabled":false,"inboxMuteWipFeatureEnabled":false},"isFallback":false,"isExperimentalCompile":false,"dynamicIds":["./components/seo/QAPageSchema/QAPageSchema.tsx","./components/community/Navbar/NavbarWidget.tsx","./components/community/Breadcrumb/BreadcrumbWidget.tsx","./components/customComponent/CustomComponent/CustomComponent.tsx","./components/messages/TopicWithThreadedReplyListWidget/TopicWithThreadedReplyListWidget.tsx","./components/external/components/ExternalComponent.tsx","./components/messages/MessageView/MessageViewStandard/MessageViewStandard.tsx","../shared/client/components/common/List/UnwrappedList/UnwrappedList.tsx","./components/tags/TagView/TagView.tsx","./components/tags/TagView/TagViewChip/TagViewChip.tsx"],"appGip":true,"scriptLoader":[{"id":"analytics","src":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/pagescripts/1730819800000/analytics.js?page.id=ForumReplyPage&entity.id=board%3Aexcelgeneral&entity.id=message%3A3685726","strategy":"afterInteractive"}]}