{"id":6509,"date":"2019-10-17T15:21:20","date_gmt":"2019-10-17T15:21:20","guid":{"rendered":"http:\/\/demos.swarthmore.edu\/physics\/?p=6509"},"modified":"2024-01-22T14:15:59","modified_gmt":"2024-01-22T14:15:59","slug":"cycloid-ramp","status":"publish","type":"post","link":"https:\/\/demos.swarthmore.edu\/physics\/2019\/10\/cycloid-ramp\/","title":{"rendered":"Cycloid Ramp"},"content":{"rendered":"<p style=\"text-align: center;\"><a href=\"http:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp1.jpg\" rel=\"attachment wp-att-6503\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-6503\" src=\"http:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp1-300x225.jpg\" alt=\"cycloid ramp1\" width=\"448\" height=\"336\" srcset=\"https:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp1-300x225.jpg 300w, https:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp1-768x576.jpg 768w, https:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp1-1024x768.jpg 1024w, https:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp1-772x579.jpg 772w, https:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp1-624x468.jpg 624w, https:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp1.jpg 1594w\" sizes=\"(max-width: 448px) 100vw, 448px\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp2.jpg\" rel=\"attachment wp-att-6507\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-6507\" src=\"http:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp2-300x225.jpg\" alt=\"cycloid ramp2\" width=\"447\" height=\"335\" srcset=\"https:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp2-300x225.jpg 300w, https:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp2-768x576.jpg 768w, https:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp2-1024x768.jpg 1024w, https:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp2-772x579.jpg 772w, https:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp2-624x468.jpg 624w, https:\/\/demos.swarthmore.edu\/physics\/wp-content\/uploads\/sites\/2\/2019\/10\/cycloid-ramp2.jpg 1594w\" sizes=\"(max-width: 447px) 100vw, 447px\" \/><\/a><\/p>\n<ul>\n<li style=\"text-align: left;\">The amount of time required for a rolling ball to reach the bottom of a cycloid ramp is, surprisingly, height independent. Test this out by releasing two balls, simultaneously, from two different heights along the ramp (bottom picture). Balls always\u00a0collide at the lowest point where the two ramps meet. Place the metal tube on the ramp, at lowest point, to allow students to hear the simultaneous clang made\u00a0when balls reach bottom.<\/li>\n<li style=\"text-align: left;\">The\u00a0\u00a0<b>Brachistochrone\u00a0<\/b>problem can be discussed by showing that a ball travels more slowly down an un-curved\u00a0ramp\u00a0than it does down a cycloidal one.<\/li>\n<li style=\"text-align: left;\">Numbers\u00a0along curve indicate height from bottom.<\/li>\n<li style=\"text-align: left;\">Located in L02, section B2.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The amount of time required for a rolling ball to reach the bottom of a cycloid ramp is, surprisingly, height independent. Test this out by releasing two balls, simultaneously, from two different heights along the ramp (bottom picture). Balls always\u00a0collide at the lowest point where the two ramps meet. Place the metal tube on the &hellip; <a href=\"https:\/\/demos.swarthmore.edu\/physics\/2019\/10\/cycloid-ramp\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Cycloid Ramp<\/span><\/a><\/p>\n","protected":false},"author":4,"featured_media":6507,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[547,6,49,52,67],"tags":[742,740,222,397,741],"_links":{"self":[{"href":"https:\/\/demos.swarthmore.edu\/physics\/wp-json\/wp\/v2\/posts\/6509"}],"collection":[{"href":"https:\/\/demos.swarthmore.edu\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/demos.swarthmore.edu\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/demos.swarthmore.edu\/physics\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/demos.swarthmore.edu\/physics\/wp-json\/wp\/v2\/comments?post=6509"}],"version-history":[{"count":5,"href":"https:\/\/demos.swarthmore.edu\/physics\/wp-json\/wp\/v2\/posts\/6509\/revisions"}],"predecessor-version":[{"id":6525,"href":"https:\/\/demos.swarthmore.edu\/physics\/wp-json\/wp\/v2\/posts\/6509\/revisions\/6525"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/demos.swarthmore.edu\/physics\/wp-json\/wp\/v2\/media\/6507"}],"wp:attachment":[{"href":"https:\/\/demos.swarthmore.edu\/physics\/wp-json\/wp\/v2\/media?parent=6509"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/demos.swarthmore.edu\/physics\/wp-json\/wp\/v2\/categories?post=6509"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/demos.swarthmore.edu\/physics\/wp-json\/wp\/v2\/tags?post=6509"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}