{"id":23601,"date":"2026-03-13T08:00:31","date_gmt":"2026-03-13T12:00:31","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=23601"},"modified":"2026-03-24T12:10:09","modified_gmt":"2026-03-24T16:10:09","slug":"homework-h4-t-sp26","status":"publish","type":"post","link":"https:\/\/www.purdue.edu\/freeform\/me274\/2026\/03\/13\/homework-h4-t-sp26\/","title":{"rendered":"Homework H4.T &#8211; Sp26"},"content":{"rendered":"<table style=\"width: 100%;border-collapse: collapse;background-color: #faf7f7\">\n<tbody>\n<tr>\n<td style=\"width: 100%\"><a href=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2023\/11\/collection_fspI-dragged-29.pdf\"><span style=\"font-size: 12pt\"><em><strong>Problem statement<\/strong><\/em><\/span><\/a><br \/>\n<a href=\"https:\/\/youtu.be\/IYexSLJ5O7E\"><span style=\"font-size: 12pt\"><em><strong>Solution video<\/strong><\/em><\/span><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<p><em><strong><span style=\"font-size: 14pt\">DISCUSSION THREAD<\/span><\/strong><\/em><\/p>\n<div data-post-id=\"12043\" class=\"insert-page insert-page-12043 \"><p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-12044\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/08\/H4T.jpg\" alt=\"\" width=\"220\" height=\"283\" \/><\/p>\n<p>Any questions?? Please ask\/answer questions regarding this homework problem through the &#8220;Leave a Comment&#8221; link above.<\/p>\n<hr \/>\n<p><em><strong>Discussion<\/strong><\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" style=\"border: 1px solid #000000\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/10\/H4D_16.gif\" width=\"395\" height=\"345\" \/><\/p>\n<p>You are asked to investigate the dynamics of this system during the short time of impact of P with A.<\/p>\n<ul>\n<li>It is suggested that you consider a system made up of A+P+bar (make the system &#8220;big&#8221;).<\/li>\n<li>Draw a free body diagram (FBD) of this system.<\/li>\n<li>For this system, linear momentum is NOT conserved since there are non-zero reaction forces at O.<\/li>\n<li>Furthermore, energy is NOT conserved since there is an impact of P with A during that time.<\/li>\n<li>From your FBD of the system, you see that the moment about the fixed point O is zero. What does this say about the angular momentum of the system about O during impact? (Answer: It is conserved!)<\/li>\n<\/ul>\n<p><em><span style=\"text-decoration: underline\">HINTS:<\/span><\/em><\/p>\n<p><em><strong>STEP 1 &#8211; FBD<\/strong><\/em>: Draw a <em>SINGLE<\/em> free body diagram (FBD) of the system of A+P+bar.<br \/>\n<em><strong>STEP 2 &#8211; Kinetics<\/strong><\/em>: \u00a0Consider the discussion above in regard to conservation of angular momentum about point O. Recall how to calculate the angular momentum about a point for a particle.<br \/>\n<em><strong>STEP 3 &#8211; Kinematics<\/strong><\/em>: At Instant 2, the P sticks to A: v<sub>P2<\/sub> = v<sub>A2<\/sub>.<br \/>\n<em><strong>STEP 4<\/strong><\/em> &#8211; <em><strong>Solve.\u00a0<\/strong><\/em><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Problem statement Solution video DISCUSSION THREAD<\/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":[5],"tags":[],"class_list":["post-23601","post","type-post","status-publish","format-standard","hentry","category-chapter-4-homework"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23601","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=23601"}],"version-history":[{"count":3,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23601\/revisions"}],"predecessor-version":[{"id":24343,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23601\/revisions\/24343"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=23601"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/categories?post=23601"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/tags?post=23601"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}