{"id":23620,"date":"2026-03-27T08:01:06","date_gmt":"2026-03-27T12:01:06","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=23620"},"modified":"2026-04-18T06:06:31","modified_gmt":"2026-04-18T10:06:31","slug":"homework-h5-c-sp26","status":"publish","type":"post","link":"https:\/\/www.purdue.edu\/freeform\/me274\/2026\/03\/27\/homework-h5-c-sp26\/","title":{"rendered":"Homework H5.C &#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\/bDnvYr-collection_fspI-dragged-2.pdf\"><span style=\"font-size: 12pt\"><em><strong>Problem statement<\/strong><\/em><\/span><\/a><br \/>\n<a href=\"https:\/\/youtu.be\/RRaP53TWL8M\"><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=\"12055\" class=\"insert-page insert-page-12055 \"><p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-12056\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/08\/H5C.jpg\" alt=\"\" width=\"124\" height=\"253\" \/><\/p>\n<p><em><strong>NOTE<\/strong><\/em>: The view of the figure provided is that of the rod <em><span style=\"text-decoration: underline\">as seen from above the surface<\/span><\/em> on which the rod lies. Gravity is directed into the screen.<\/p>\n<hr \/>\n<p><em><strong><span style=\"font-size: 14pt\">DISCUSSION<\/span><\/strong><\/em><br \/>\nThis is a straight-forward application of the Newton-Euler equations to a single rigid body moving in a plane. Consider the four-step plan:<\/p>\n<p>1. <em><strong>FBD<\/strong><\/em>: Only a single force acting on the body in its plane of motion.<\/p>\n<p>2. <em><strong>Newton\/Euler<\/strong><\/em>: Use the two components of the Newton equations and one Euler equation for the rigid body:<br \/>\n\u2211F<sub>x <\/sub>= &#8230; = m*a<sub>Gx<\/sub><br \/>\n\u2211F<sub>y <\/sub>= &#8230; = m*a<sub>Gy<\/sub><br \/>\n\u2211M<sub>G<\/sub> = &#8230; = I<sub>G<\/sub>*\u03b1<\/p>\n<p>3. <em><strong>Kinematics<\/strong><\/em>: None needed here.<\/p>\n<p>4. <em><strong>Solve<\/strong><\/em><\/p>\n<hr \/>\n<p>Any questions?? Please ask\/answer questions regarding this homework problem through the &#8220;Leave a Comment&#8221; link above.<\/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":[6],"tags":[],"class_list":["post-23620","post","type-post","status-publish","format-standard","hentry","category-chapter-5-homework"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23620","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=23620"}],"version-history":[{"count":3,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23620\/revisions"}],"predecessor-version":[{"id":24856,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23620\/revisions\/24856"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=23620"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/categories?post=23620"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/tags?post=23620"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}