{"id":8556,"date":"2020-07-17T15:31:20","date_gmt":"2020-07-17T19:31:20","guid":{"rendered":"https:\/\/www.purdue.edu\/freeform\/me274\/?page_id=8556"},"modified":"2024-10-05T18:09:19","modified_gmt":"2024-10-05T22:09:19","slug":"center-of-percussion","status":"publish","type":"page","link":"https:\/\/www.purdue.edu\/freeform\/me274\/course-material\/animations\/center-of-percussion\/","title":{"rendered":"Center of percussion"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-7686 aligncenter\" style=\"border: 1px solid #000000\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2020\/07\/figure07.pdf\" alt=\"\" width=\"180\" height=\"284\" \/><\/p>\n<p>A thin, homogeneous bar of length <em>L<\/em> is support by a smooth sliding joint at the top end A. With the bar initially at rest, a \u00a0force <em>F<\/em> is applied a distance of d below A. What is the instantaneous acceleration of end A as a result of the applied force?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-7686 aligncenter\" style=\"border: 1px solid #000000\" src=\"https:\/\/www.purdue.edu\/freeform\/me274\/wp-content\/uploads\/sites\/15\/2020\/07\/figure06-scaled.jpg\" alt=\"\" width=\"455\" height=\"336\" \/><\/p>\n<p>From the above, we see that:<\/p>\n<ul>\n<li>When d\/L = 1\/2 (force applied at the center of mass G), the acceleration of A is <em>a<\/em><sub>A<\/sub> = <em>F\/m. <\/em>This is expected since in this case the bar is in pure translation.<\/li>\n<li>When d\/L = 2\/3, the acceleration of A is <em>a<\/em><sub>A<\/sub> = <em>0. <\/em>The location of the applied force in this case is known as the &#8220;center of percussion&#8221; (or, &#8220;sweet spot&#8221;); that is, no force is required at end A in order to keep A stationary at the instant that the force is applied.<\/li>\n<\/ul>\n<p>An animation of the simulation for this problem is shown for four values of the application point <em>d<\/em>. For d\/L &gt; 2\/3, the acceleration of end A is initially to the left for a force applied to the right on the bar.<\/p>\n<p>&nbsp;<\/p>\n<div class=\"page\" title=\"Page 3\">\n<div class=\"layoutArea\">\n<div class=\"column\">\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\/2020\/07\/section_05A_01.gif\" width=\"573\" height=\"244\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>A thin, homogeneous bar of length L is support by a smooth sliding joint at the top end A. With the bar initially at rest, a \u00a0force F is applied a distance of d below A. What is the instantaneous acceleration of end A as a result of the applied force? From the above, we &hellip; <a href=\"https:\/\/www.purdue.edu\/freeform\/me274\/course-material\/animations\/center-of-percussion\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Center of percussion<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":10,"featured_media":0,"parent":14,"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-8556","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/8556","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=8556"}],"version-history":[{"count":4,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/8556\/revisions"}],"predecessor-version":[{"id":8564,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/8556\/revisions\/8564"}],"up":[{"embeddable":true,"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/pages\/14"}],"wp:attachment":[{"href":"https:\/\/www.purdue.edu\/freeform\/me274\/wp-json\/wp\/v2\/media?parent=8556"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}