{"id":13625,"date":"2022-04-04T09:59:36","date_gmt":"2022-04-04T13:59:36","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?p=13625"},"modified":"2024-10-05T18:08:51","modified_gmt":"2024-10-05T22:08:51","slug":"homework-h5-l","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/me274\/chapter-5-discussion\/homework-h5-l\/","title":{"rendered":"Homework H5.C.06"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-13626 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/01\/Screen-Shot-2022-01-23-at-5.54.55-PM-300x266.jpg\" alt=\"\" width=\"278\" height=\"247\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/01\/Screen-Shot-2022-01-23-at-5.54.55-PM-300x266.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2022\/01\/Screen-Shot-2022-01-23-at-5.54.55-PM.jpg 604w\" sizes=\"auto, (max-width: 278px) 100vw, 278px\" \/><\/p>\n<p><em><strong>Discussion and hints:<\/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\/2023\/04\/H5C_06a.gif\" width=\"420\" height=\"427\" \/><\/p>\n<p>Note that the animation above is for a generic set of parameter values that may or may not be the ones assigned for the problem this semester.<\/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 <em>single<\/em> free body diagram for the system made up of bar OA and particle P,\u00a0<span style=\"text-decoration: underline\"><em>combined<\/em><\/span>.<\/p>\n<p><em><strong>Step 2: Kinetics (impulse\/momentum)<\/strong><\/em><\/p>\n<ul>\n<li>From you FBD above, what can you say about the moments acting about the fixed point O in your system? What consequence does this have on the angular momentum about point O for the system?<\/li>\n<li>Use the coefficient of restitution, COR, equation relating the &#8220;n-components&#8221; of velocity for P and end A of the bar. (You may want to review Section 4.C of the lecture book in regard to impacts and the COR.)<\/li>\n<\/ul>\n<p><em><strong>Step 3: Kinematics<\/strong><\/em><br \/>\nNote that bar OA rotates about point O. What does that say about the direction of the velocity of point A on the bar after impact? Study the animation above, and the freeze-frame images below of the motion. Do your kinematics agree with what you see about the direction of the velocity of A?<\/p>\n<div class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-19116 aligncenter\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2023\/04\/Screen-Shot-2023-04-04-at-12.42.55-PM-1-300x122.jpg\" alt=\"\" width=\"644\" height=\"262\" srcset=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2023\/04\/Screen-Shot-2023-04-04-at-12.42.55-PM-1-300x122.jpg 300w, https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2023\/04\/Screen-Shot-2023-04-04-at-12.42.55-PM-1.jpg 618w\" sizes=\"auto, (max-width: 644px) 100vw, 644px\" \/><\/div>\n<p><em><strong>Step 4: Solve<\/strong><\/em><br \/>\nSolve your equations above for the angular speed of bar OA.<\/p>\n<hr \/>\n<p>Any questions?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Discussion and hints: Note that the animation above is for a generic set of parameter values that may or may not be the ones assigned for the problem this semester. Recall the following four-step plan outline in the lecture book and discussed in lecture: Step 1: FBDs Draw a single free body diagram for the &hellip; <a href=\"https:\/\/www.purdue.edu\/freeform\/me274\/chapter-5-discussion\/homework-h5-l\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Homework H5.C.06<\/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-13625","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/13625","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=13625"}],"version-history":[{"count":10,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/13625\/revisions"}],"predecessor-version":[{"id":19119,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/13625\/revisions\/19119"}],"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=13625"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}