{"id":608319,"date":"2017-10-24T02:00:00","date_gmt":"2017-10-23T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=b3c6ce81d75d3581ebf28cf4b5f4739a"},"modified":"2017-10-24T02:00:00","modified_gmt":"2017-10-23T23:00:00","slug":"decomposition-of-the-compound-atwood-machine","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=608319","title":{"rendered":"Decomposition of the compound Atwood machine"},"content":{"rendered":"<p>Non-standard solving strategies for the compound Atwood machine problem have been proposed. The<br \/>\npresent strategy is based on a very simple idea. Taking an Atwood machine and replacing one of its<br \/>\nbodies by another Atwood machine, we have a compound machine. As this operation can be repeated, we<br \/>\ncan construct any compound Atwood machine. This rule of construction is transferred to a<br \/>\nmathematical model, whereby the equations of motion are obtained. The only difference between the<br \/>\nmachine and its model is that instead of pulleys and bodies, we have reference frames that move<br \/>\nsolidarily with these objects. This model provides us with the accelerations in the non-inertial<br \/>\nframes of the bodies, which we will use to obtain the equations of motion. This approach to the<br \/>\nproblem will be justified by the Lagrange method and exemplified by machines with six and eight<br \/>\nbodies.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Non-standard solving strategies for the compound Atwood machine problem have been proposed. The<br \/>\npresent strategy is based on a very simple idea. Taking an Atwood machine and replacing one of its<br \/>\nbodies by another Atwood machine, we have a compound ma&#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-608319","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\/608319","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=608319"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/608319\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=608319"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=608319"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=608319"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}