{"id":4704,"date":"2024-07-24T10:34:17","date_gmt":"2024-07-24T15:34:17","guid":{"rendered":"https:\/\/commons.princeton.edu\/josephhenry\/?page_id=4704"},"modified":"2024-07-24T15:21:05","modified_gmt":"2024-07-24T20:21:05","slug":"finding-force-on-rotating-bar-from-oscillation-frequency","status":"publish","type":"page","link":"https:\/\/commons.princeton.edu\/josephhenry\/finding-force-on-rotating-bar-from-oscillation-frequency\/","title":{"rendered":"Finding Force on Rotating Bar from Oscillation Frequency"},"content":{"rendered":"<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4696\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-12-125032.png\" alt=\"\" width=\"362\" height=\"430\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-12-125032.png 1226w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-12-125032-253x300.png 253w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-12-125032-863x1024.png 863w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-12-125032-768x911.png 768w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-12-125032-1200x1423.png 1200w\" sizes=\"auto, (max-width: 362px) 85vw, 362px\" \/><\/p>\n<p><a href=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Oscillating-compass-needle-July-8-2024.zip\">Oscillating compass needle &#8211; July 8 2024 &#8211; COMSOL FILE Version 6.2<\/a><\/p>\n<p>The model above features an oscillating bar below a fixed bar. The bar oscillates due to an applied body force of 0.1N\/m. This is slightly larger than the calculated k=0.067N\/m. The reason for this disparity is the bar swings at a large enough angle for the amplitude to influence the force calculation. With small angles, the restoring force is approximately linear, however, restoring force = F = mg sin(\u0398). Therefore at larger angles, the restoring force can no longer be approximated linearly and no longer follows sqrt(k\/m).<\/p>\n<p>Oscillation frequency = \u03c9[rad\/sec]<br \/>\n\u03c9 = sqrt(k\/m)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4697\" src=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-19-140516.png\" alt=\"\" width=\"353\" height=\"390\" srcset=\"https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-19-140516.png 1027w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-19-140516-271x300.png 271w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-19-140516-927x1024.png 927w, https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2024\/07\/Screenshot-2024-07-19-140516-768x849.png 768w\" sizes=\"auto, (max-width: 353px) 85vw, 353px\" \/><\/p>\n<p>\u03c9=0.924 rad\/s<br \/>\nJ= 0.0785kg<br \/>\nk= \u03c92J<br \/>\nk= 0.067N\/m<br \/>\nSource:\u00a0<a href=\"http:\/\/hyperphysics.phy-astr.gsu.edu\/hbase\/shm2.html\">http:\/\/hyperphysics.phy-astr.gsu.edu\/hbase\/shm2.html<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Oscillating compass needle &#8211; July 8 2024 &#8211; COMSOL FILE Version 6.2 The model above features an oscillating bar below a fixed bar. The bar oscillates due to an applied body force of 0.1N\/m. This is slightly larger than the calculated k=0.067N\/m. The reason for this disparity is the bar swings at a large &hellip; <a href=\"https:\/\/commons.princeton.edu\/josephhenry\/finding-force-on-rotating-bar-from-oscillation-frequency\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Finding Force on Rotating Bar from Oscillation Frequency&#8221;<\/span><\/a><\/p>\n","protected":false},"author":6118,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-4704","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4704","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/users\/6118"}],"replies":[{"embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/comments?post=4704"}],"version-history":[{"count":4,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4704\/revisions"}],"predecessor-version":[{"id":4718,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4704\/revisions\/4718"}],"wp:attachment":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/media?parent=4704"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/categories?post=4704"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/tags?post=4704"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}