{"id":23545,"date":"2026-03-13T08:01:37","date_gmt":"2026-03-13T12:01:37","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=23545"},"modified":"2026-03-24T12:16:07","modified_gmt":"2026-03-24T16:16:07","slug":"homework-h4-s-sp-26","status":"publish","type":"post","link":"https:\/\/www.purdue.edu\/freeform\/me274\/2026\/03\/13\/homework-h4-s-sp-26\/","title":{"rendered":"Homework H4.S – Sp 26"},"content":{"rendered":"\n\n\n
Problem statement<\/strong><\/em><\/span><\/a>
\nSolution video<\/a>
\n<\/strong><\/em><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

DISCUSSION THREAD<\/span><\/strong><\/em><\/p>\n

Please note that this question is asking for the VELOCITY<\/strong><\/em><\/span> of B, not the speed of B. The velocity of B will have two components, and you are asked to find these components.<\/p>\n

\"\"<\/p>\n

\n

Discussion and hints
\n<\/strong><\/em>Recall the following f<\/em>our-step plan<\/em><\/span> outline in the lecture book and discussed in lecture:<\/p>\n

Step 1: FBDs<\/strong><\/em>
\nDraw a free body diagram of the system made up of B, bar AB and the spring.<\/p>\n

Step 2: Kinetics (angular impulse\/momentum and work\/energy)<\/strong><\/em>
\nNote that all forces on the system act at the fixed point O. What does this say about the angular momentum of the system about point O? Also, consider the work\/energy equation for the system.<\/p>\n

Step 3: Kinematics<\/strong><\/em>
\nThe kinematics of P are best written in terms of polar coordinates R<\/em> and \u03c6<\/em>.<\/p>\n

Step 4: Solve<\/strong><\/em>
\nSolve for the R<\/em> and \u03c6 <\/em>components of velocity of P from these equations.<\/p>\n

\n

Any questions?<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Problem statement Solution video DISCUSSION THREAD Please note that this question is asking for the VELOCITY of B, not the speed of B. The velocity of B will have two components, and you are asked to find these components.<\/p>\n","protected":false},"author":10,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[2],"tags":[],"class_list":["post-23545","post","type-post","status-publish","format-standard","hentry","category-chapter-1-homework"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23545","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/comments?post=23545"}],"version-history":[{"count":5,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23545\/revisions"}],"predecessor-version":[{"id":24344,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23545\/revisions\/24344"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=23545"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/categories?post=23545"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/tags?post=23545"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}