{"id":15529,"date":"2022-05-31T11:48:49","date_gmt":"2022-05-31T15:48:49","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=15529"},"modified":"2024-10-05T18:08:51","modified_gmt":"2024-10-05T22:08:51","slug":"homework-h5-b-4","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/me274\/chapter-5-discussion\/homework-h5-b-4\/","title":{"rendered":"Homework H5.B.04"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-14570 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/05\/Screen-Shot-2022-05-17-at-9.09.01-AM-300x158.jpg\" alt=\"\" width=\"339\" height=\"187\" \/><\/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<\/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 system made up of the drum, block A and the spring.<\/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? Does the force of friction at the no-slip contact point do work? If there are none, then energy is conserved.<\/li>\n<li>Write down the individual kinetic energy expressions for the drum and block A, and add together for the total KE of the system.<\/li>\n<li>Define your gravitational datum line. Write down the individual potential energy expressions for the drum block A and the spring, and add together for the total PE of the system.<\/li>\n<\/ul>\n<p><em><strong>Step 3: Kinematics<\/strong><\/em><br \/>\nRelate the speed of A to the angular speed of the drum.<\/p>\n<p><em><strong>Step 4: Solve<\/strong><\/em><br \/>\nFrom your equations in Steps 2 and 3, solve for the velocity of block A at position 2.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ask your questions here. Or, answer questions of others here. Either way, you can learn. DISCUSSION and HINTS Recall the following four-step plan outline in the lecture book and discussed in lecture: Step 1: FBDs Draw a single free body diagram (FBD) of the system made up of the drum, block A and the spring. &hellip; <a href=\"https:\/\/www.purdue.edu\/freeform\/me274\/chapter-5-discussion\/homework-h5-b-4\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Homework H5.B.04<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":10,"featured_media":0,"parent":14985,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-15529","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/15529","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/types\/page"}],"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=15529"}],"version-history":[{"count":2,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/15529\/revisions"}],"predecessor-version":[{"id":18424,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/15529\/revisions\/18424"}],"up":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/14985"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=15529"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}