It is not always easy to find problems in classical mechanics that can be solved with the use of
\nknowledge in quantum mechanics. In this short note we present such an example. The problem is that
\nof a bead which is free to move on an infinite rigid rod, where the rod is constrained to rotate
\nwith an increasing angular speed. The bead is also connected to the center of the rod by a spring.
\nThe question is to examine the whole set of solutions as time goes to infinity; particularly
\nfocusing on the possibility of having vanishing radial position. We humans are all equipped with
\ninstinctive intuitive knowledge about mechanical systems because we live in a macroscopic world that
\ntheir physics dominates. Yet in the example we shall study, we will see that our generic intuition
\nmight fail to predict a set of zero measure in the solution set. One might say that our intuition is
\nof course only based on generic situations.<\/p>\n","protected":false},"excerpt":{"rendered":"
It is not always easy to find problems in classical mechanics that can be solved with the use of
\nknowledge in quantum mechanics. In this short note we present such an example. The problem is that
\nof a bead which is free to move on an infinite rigid r…<\/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-224662","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\/224662","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=224662"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/224662\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=224662"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=224662"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=224662"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}