{"id":23443,"date":"2026-02-09T08:01:30","date_gmt":"2026-02-09T13:01:30","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=23443"},"modified":"2026-02-17T08:37:04","modified_gmt":"2026-02-17T13:37:04","slug":"homework-h3-c-sp-26","status":"publish","type":"post","link":"https:\/\/www.purdue.edu\/freeform\/me274\/2026\/02\/09\/homework-h3-c-sp-26\/","title":{"rendered":"Homework H3.C &#8211; Sp 26"},"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\/2026\/01\/Untitled-2-16.pdf\"><span style=\"font-size: 12pt\"><em><strong>Problem statement<\/strong><\/em><\/span><\/a><br \/>\n<span style=\"font-size: 12pt\"><em><strong><a href=\"https:\/\/youtu.be\/7vzQ4OQZeAo\">Solution video<\/a><br \/>\n<\/strong><\/em><\/span><\/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=\"13394\" class=\"insert-page insert-page-13394 \"><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-13395 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/01\/Screen-Shot-2022-01-16-at-12.23.09-PM-300x193.jpg\" alt=\"\" width=\"365\" height=\"235\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/01\/Screen-Shot-2022-01-16-at-12.23.09-PM-300x193.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/01\/Screen-Shot-2022-01-16-at-12.23.09-PM-768x494.jpg 768w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/01\/Screen-Shot-2022-01-16-at-12.23.09-PM.jpg 880w\" sizes=\"auto, (max-width: 365px) 100vw, 365px\" \/><br \/>\nAny questions??<\/p>\n<hr \/>\n<p><em><strong>Discussion and hints:<\/strong><\/em><\/p>\n<p>Let&#8217;s first take a look at the motion of point B. This motion of B is shown in the simulation results below.<\/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\/2022\/01\/H3A_20.gif\" width=\"606\" height=\"419\" \/><\/p>\n<p>The motion of B is circular, with the center of the path located at point D. This is expected since link BD is pinned to ground at point D.<\/p>\n<p>Now, let&#8217;s attach an observer to link AC. Keep in mind that this observer is unaware that they are moving. The motion of B that this observer sees is straight, with this straight path aligned with the collar sliding on link AC. Since the <em>xy<\/em>-axes are attached to AC, this relative motion is in the <em>x<\/em>-direction:<\/p>\n<p><em>(<strong>v<\/strong><sub>B\/A<\/sub>)<sub>rel<\/sub>\u00a0= v<sub>rel<\/sub> <strong>i\u00a0<\/strong>= d_dot\u00a0<strong>i<\/strong><\/em><\/p>\n<p><em>(<strong>a<\/strong><sub>B\/A<\/sub>)<sub>rel<\/sub>\u00a0= a<sub>rel<\/sub> <strong>i <\/strong>= d_ddot\u00a0<strong>i<\/strong><\/em><\/p>\n<p>where <em>d_dot<\/em> and <em>d_ddot<\/em> are unknowns (you will solve for these in your analysis). You can see this is the following animation shown from the perspective of the observer attached to link AC.<\/p>\n<p>&nbsp;<\/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\/2022\/01\/H3A_20_02.gif\" width=\"606\" height=\"419\" \/><\/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":[4],"tags":[],"class_list":["post-23443","post","type-post","status-publish","format-standard","hentry","category-chapter-3-homework"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23443","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=23443"}],"version-history":[{"count":2,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23443\/revisions"}],"predecessor-version":[{"id":24017,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23443\/revisions\/24017"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=23443"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/categories?post=23443"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/tags?post=23443"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}