{"id":608317,"date":"2017-10-24T02:00:00","date_gmt":"2017-10-23T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=6204329f3c1f57746368be55e86b902c"},"modified":"2017-10-24T02:00:00","modified_gmt":"2017-10-23T23:00:00","slug":"dynamics-of-damped-oscillations-physical-pendulum","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=608317","title":{"rendered":"Dynamics of damped oscillations: physical pendulum"},"content":{"rendered":"<p>The frictional force between a physical damped pendulum and the medium is usually assumed to be<br \/>\nproportional to the pendulum velocity. In this work, we investigate how the pendulum motion will be<br \/>\naffected when the drag force is modeled using power-laws bigger than the usual 1 or 2, and we will<br \/>\nshow that such assumption leads to contradictions with experimental observations. For this purpose,<br \/>\na more general model of a damped pendulum is introduced, assuming a power-law with integer exponents<br \/>\nin the damping term of the equation of motion, and also in the non-harmonic regime. A Runge\u2013Kutta<br \/>\nsolver is implemented to compute the numerical solutions for the first five powers, showing that the<br \/>\nlinear drag has the fastest decay to rest, and that bigger exponents have long-time fluctuation<br \/>\naround the equilibrium position, which have no correlation (as is expected) with experimental<br \/>\nresults.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The frictional force between a physical damped pendulum and the medium is usually assumed to be<br \/>\nproportional to the pendulum velocity. In this work, we investigate how the pendulum motion will be<br \/>\naffected when the drag force is modeled using power-la&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-608317","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/608317","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=608317"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/608317\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=608317"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=608317"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=608317"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}