{"id":23626,"date":"2026-04-06T08:00:50","date_gmt":"2026-04-06T12:00:50","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=23626"},"modified":"2026-03-25T16:22:36","modified_gmt":"2026-03-25T20:22:36","slug":"homework-h5-j-sp26","status":"publish","type":"post","link":"https:\/\/www.purdue.edu\/freeform\/me274\/2026\/04\/06\/homework-h5-j-sp26\/","title":{"rendered":"Homework H5.J &#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-10.pdf\"><span style=\"font-size: 12pt\"><em><strong>Problem statement<\/strong><\/em><\/span><\/a><br \/>\n<span style=\"font-size: 12pt\"><em><strong>Solution video<\/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=\"12077\" class=\"insert-page insert-page-12077 \"><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-12078\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/08\/H5J-300x192.jpg\" alt=\"\" width=\"409\" height=\"262\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/08\/H5J-300x192.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2021\/08\/H5J.jpg 415w\" sizes=\"auto, (max-width: 409px) 100vw, 409px\" \/><\/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\/11\/H5B_15.gif\" width=\"387\" height=\"300\" \/><\/p>\n<p>The animation shown above demonstrates the kinematics of the motion of the system made up of bars OA and AB. Bat OA rotates about the fixed point O. Bar AB is attached of OA with a pin at A, and end B is constrained to move along in a smooth, horizontal slot.<\/p>\n<p>You are asked to determine the speed of end B of AB when the bar OA reaches the vertical position shown 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\/2021\/11\/Screen-Shot-2021-11-02-at-3.29.03-PM.jpg\" width=\"250\" height=\"274\" \/><\/p>\n<p><span style=\"text-decoration: underline\"><em>QUESTION<\/em><\/span>: Where is the instant center (IC) of AB for the position above? What are the consequences of this location for IC<sub>AB<\/sub>? Can you see these \u00a0in the above image when you consider the relative sizes of the speeds of points A, G and B?<\/p>\n<p><span style=\"text-decoration: underline\"><em>HINT<\/em><\/span>: As always, we should follow the four-step plan for solving this problem.<br \/>\n<em><strong>STEP 1: FBD.\u00a0<\/strong><\/em>We will be using the work\/energy equation to determine this angular speed. Based on earlier recommendations, we will make the choice of our system BIG, including both bars together.<br \/>\n<em><strong>STEP 2: Kinetics<\/strong><\/em> (here, work\/energy). The total kinetic energy of the system shown in your FBD above is that of the bar OA + that of bar AB. For bar OA, it is recommended that you choose the fixed point O as your reference point for the KE. For bar AB, it is recommended that you choose the center of mass G for the reference point for its KE.\u00a0\u00a0Be sure to identify the datum line for the gravitational potential energy, and use this in writing down this potential. What is the work done by force <em>F<\/em>?<br \/>\n<em><strong>STEP 3: Kinematics.<\/strong><\/em>\u00a0Locate the IC for bar AB. What does this say about the angular speed of AB? Use this result in solving your energy equation.<br \/>\n<em><strong>STEP 4: Solve<\/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":[6],"tags":[],"class_list":["post-23626","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\/23626","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=23626"}],"version-history":[{"count":2,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23626\/revisions"}],"predecessor-version":[{"id":24378,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23626\/revisions\/24378"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=23626"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/categories?post=23626"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/tags?post=23626"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}