{"id":357477,"date":"2017-01-23T03:00:00","date_gmt":"2017-01-23T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=b0111465438391050ed6c6d81035c4f5"},"modified":"2017-01-23T03:00:00","modified_gmt":"2017-01-23T00:00:00","slug":"analysis-of-the-wobbling-effect-in-a-lens-shaped-body-rotation","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=357477","title":{"rendered":"Analysis of the wobbling effect in a lens-shaped body rotation"},"content":{"rendered":"<p>We discuss the wobbling motion in a lens-shaped body rotation, focusing on the frequencies and the<br \/>\namplitude of nutation by filming the rotational motion and wobbling of the body. The friction<br \/>\ncoefficient of the surface is altered to examine its influence for two lenses with<br \/>\ndifferent\u00a0curvature radii. MATLAB programs are developed to retrieve the Euler angles, which are<br \/>\ngraphed according to time. It is shown that the lens with a smaller curvature radius exhibits the<br \/>\nwobbling effect in all cases, whereas the lens with a larger curvature radius shows such behaviour<br \/>\nin limited circumstances. The study confirms that the friction coefficient has a negative linear<br \/>\ncorrelation with the vertical axis declination amplitude with the R -squared value 0.878, showing<br \/>\nthat friction gives damping and causes smaller axis declination amplitudes. Negative linear<br \/>\ncorrelation also exists with relation to the number of wobbles before the motion stops, where the R<br \/>\n-squared value is 0.938,&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We discuss the wobbling motion in a lens-shaped body rotation, focusing on the frequencies and the<br \/>\namplitude of nutation by filming the rotational motion and wobbling of the body. The friction<br \/>\ncoefficient of the surface is altered to examine its infl&#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-357477","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\/357477","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=357477"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/357477\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=357477"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=357477"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=357477"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}