{"id":386,"date":"2011-11-08T11:40:36","date_gmt":"2011-11-08T19:40:36","guid":{"rendered":"http:\/\/research.engineering.ucdavis.edu\/biosport\/?p=386"},"modified":"2014-06-19T15:21:05","modified_gmt":"2014-06-19T23:21:05","slug":"2d-bowling-pin-collisions","status":"publish","type":"post","link":"https:\/\/research.engineering.ucdavis.edu\/biosport\/2d-bowling-pin-collisions\/","title":{"rendered":"2D bowling pin collisions"},"content":{"rendered":"<p>by Andrew Kickertz<\/p>\n<p>I started thinking more about collisions of bowling pins a couple weeks ago, and I&#8217;ve come up with something that I think is pretty cool.\u00a0 It is a 2D frictionless simulation of 1 ball and 10 pins operating primarily on the following equations:<\/p>\n<div>\u03bd0=(V0\u2212V\u20320)\u22c5n^<\/div>\n<div>Vf=V0\u2212m\u03bd0\/M(1+e)<\/div>\n<div>V\u2032f=V\u20320+m\u03bd0\/M\u2032(1+e)<\/div>\n<p>&nbsp;<\/p>\n<p>where\u00a0\u03bd0\u00a0is the normal component of the incident velocity,\u00a0V0\u00a0and\u00a0V\u20320\u00a0are the initial velocities of the 2 bodies,\u00a0M\u00a0and\u00a0M\u2032\u00a0are the masses, and\u00a0m\u00a0is the effective mass.\u00a0 Note that these equations must be performed in a coordinate system spanned by vectors tangent and normal to the both bodies at the contact point.\u00a0 These formulas come from Stronge&#8217;s (2000) book, Impact Mechanics.<\/p>\n<p>Check out the videos:<\/p>\n<p><iframe loading=\"lazy\" width=\"800\" height=\"600\" src=\"http:\/\/www.youtube.com\/embed\/9CvajvSEh1U?feature=oembed\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n<p><iframe loading=\"lazy\" width=\"800\" height=\"600\" src=\"http:\/\/www.youtube.com\/embed\/91QZ7dm3ruc?feature=oembed\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n<p><iframe loading=\"lazy\" width=\"800\" height=\"600\" src=\"http:\/\/www.youtube.com\/embed\/eIghJWLxj6o?feature=oembed\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n<p><iframe loading=\"lazy\" width=\"800\" height=\"600\" src=\"http:\/\/www.youtube.com\/embed\/i_B6bi9_KSw?feature=oembed\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n","protected":false},"excerpt":{"rendered":"<p>by Andrew Kickertz I started thinking more about collisions of bowling pins a couple weeks ago, and I&#8217;ve come up with something that I think is pretty cool.\u00a0 It is a 2D frictionless simulation of 1 ball and 10 pins operating primarily on the following equations: \u03bd0=(V0\u2212V\u20320)\u22c5n^ Vf=V0\u2212m\u03bd0\/M(1+e) V\u2032f=V\u20320+m\u03bd0\/M\u2032(1+e) &nbsp; \u2026 <a class=\"continue-reading-link\" href=\"https:\/\/research.engineering.ucdavis.edu\/biosport\/2d-bowling-pin-collisions\/\"> Continue reading <span class=\"meta-nav\">&rarr; <\/span><\/a><\/p>\n","protected":false},"author":10,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[22],"tags":[],"class_list":["post-386","post","type-post","status-publish","format-standard","hentry","category-blog"],"_links":{"self":[{"href":"https:\/\/research.engineering.ucdavis.edu\/biosport\/wp-json\/wp\/v2\/posts\/386","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/research.engineering.ucdavis.edu\/biosport\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/research.engineering.ucdavis.edu\/biosport\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/research.engineering.ucdavis.edu\/biosport\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/research.engineering.ucdavis.edu\/biosport\/wp-json\/wp\/v2\/comments?post=386"}],"version-history":[{"count":1,"href":"https:\/\/research.engineering.ucdavis.edu\/biosport\/wp-json\/wp\/v2\/posts\/386\/revisions"}],"predecessor-version":[{"id":390,"href":"https:\/\/research.engineering.ucdavis.edu\/biosport\/wp-json\/wp\/v2\/posts\/386\/revisions\/390"}],"wp:attachment":[{"href":"https:\/\/research.engineering.ucdavis.edu\/biosport\/wp-json\/wp\/v2\/media?parent=386"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/research.engineering.ucdavis.edu\/biosport\/wp-json\/wp\/v2\/categories?post=386"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/research.engineering.ucdavis.edu\/biosport\/wp-json\/wp\/v2\/tags?post=386"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}