{"id":23624,"date":"2026-04-01T08:01:10","date_gmt":"2026-04-01T12:01:10","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=23624"},"modified":"2026-04-22T16:31:37","modified_gmt":"2026-04-22T20:31:37","slug":"homework-h5-g-sp26","status":"publish","type":"post","link":"https:\/\/www.purdue.edu\/freeform\/me274\/2026\/04\/01\/homework-h5-g-sp26\/","title":{"rendered":"Homework H5.G &#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-6.pdf\"><span style=\"font-size: 12pt\"><em><strong>Problem statement<\/strong><\/em><\/span><\/a><br \/>\n<a href=\"https:\/\/youtu.be\/L0gnWxGphoQ\"><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=\"15520\" class=\"insert-page insert-page-15520 \"><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-14546 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/05\/Screen-Shot-2022-05-17-at-8.22.05-AM-300x244.jpg\" alt=\"\" width=\"411\" height=\"334\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/05\/Screen-Shot-2022-05-17-at-8.22.05-AM-300x244.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/05\/Screen-Shot-2022-05-17-at-8.22.05-AM.jpg 515w\" sizes=\"auto, (max-width: 411px) 100vw, 411px\" \/><\/p>\n<p>Ask your questions here. Or, answer questions of others here. Either way, you can learn.<\/p>\n<hr \/>\n<p><em><strong>DISCUSSION and HINTS<br \/>\n<\/strong><\/em><em><strong><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\/05\/H5B_02.gif\" width=\"606\" height=\"419\" \/><\/strong><\/em><\/p>\n<p>Recall the following <span style=\"text-decoration: underline\"><em>f<\/em><em>our-step plan<\/em><\/span> outline in the lecture book and discussed in lecture:<\/p>\n<p><em><strong>Step 1: FBDs<\/strong><\/em><br \/>\nDraw a single free body diagram (FBD) of the bar and the particle.<\/p>\n<p><em><strong>Step 2: Kinetics (Work\/energy)<br \/>\n<\/strong><\/em><\/p>\n<ul>\n<li>Looking at your FBD above, which forces, if any, do work that is not a part of the potential energy of the system? If there are none, then energy is conserved.<\/li>\n<li>Write down the individual contributions to the kinetic energy from the bar and particle, and add together for the total kinetic energy of the system.<\/li>\n<li>Define your gravitational datum line. Write down the individual contributions to potential energy from the bar, particle and spring, and add together for the total potential energy.<\/li>\n<\/ul>\n<p><em><strong>Step 3: Kinematics<\/strong><\/em><br \/>\nUse the following rigid body kinematics equation to relate the angular velocity of the bar to the velocity of the particle B at position 2:<\/p>\n<p><em><strong>v<\/strong><sub>B<\/sub>= <strong>v<\/strong><sub>G<\/sub> + <strong>\u03c9<\/strong><sub>AB<\/sub> x <strong>r<\/strong><sub>B\/G<\/sub><\/em><\/p>\n<p><em><strong>Step 4: Solve<\/strong><\/em><br \/>\nFrom your equations in Steps 2 and 3, solve for the angular velocity of the bar.<\/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":"closed","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-23624","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\/23624","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=23624"}],"version-history":[{"count":3,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23624\/revisions"}],"predecessor-version":[{"id":24862,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/posts\/23624\/revisions\/24862"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=23624"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/categories?post=23624"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/tags?post=23624"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}