{"id":165937,"date":"2016-01-05T03:00:00","date_gmt":"2016-01-05T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=dec685816eaecd82626ad54b51cec35f"},"modified":"2016-01-05T03:00:00","modified_gmt":"2016-01-05T00:00:00","slug":"the-magic-of-the-gravity-defying-cylinder","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=165937","title":{"rendered":"The magic of the gravity-defying cylinder"},"content":{"rendered":"<p>The motion of an eccentrically loaded circular hoop is analysed when it rolls without slipping in<br \/>\nsuch a way that its centre of mass stays at the same vertical height, ensuring the conservation of<br \/>\nkinetic energy of the hoop. The equation of the required path for such rolling is derived. Although<br \/>\nthe kinetic energy of the rolling hoop remains constant, its distribution into the rotational mode<br \/>\nand the translational mode keeps varying. As a result, it turns out that the hoop\u2019s geometric centre<br \/>\nactually speeds up while the hoop rolls up its path, and slows down on its way down. This presents<br \/>\nthe idea of demonstrating an apparently gravity-defying situation where a closed right circular<br \/>\ncylinder that is actually eccentrically loaded on the inside is utilised. Since its centre must<br \/>\nspeed up as it gains vertical height, and vice versa, the cylinder would look as if going against<br \/>\ngravity.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The motion of an eccentrically loaded circular hoop is analysed when it rolls without slipping in<br \/>\nsuch a way that its centre of mass stays at the same vertical height, ensuring the conservation of<br \/>\nkinetic energy of the hoop. The equation of the requi&#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-165937","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\/165937","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=165937"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/165937\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=165937"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=165937"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=165937"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}