{"id":21024,"date":"2011-05-12T20:51:06","date_gmt":"2011-05-13T02:51:06","guid":{"rendered":"http:\/\/hill-kleerup.org\/blog\/?p=21024"},"modified":"2011-05-12T20:51:06","modified_gmt":"2011-05-13T02:51:06","slug":"pendulum-swing-like-a-pendulum-do","status":"publish","type":"post","link":"https:\/\/hill-kleerup.org\/blog\/2011\/05\/12\/pendulum-swing-like-a-pendulum-do.html","title":{"rendered":"Pendulum Swing Like A Pendulum Do"},"content":{"rendered":"<p>This is simple. And lovely.\u00a0 Math in motion &#8230;<\/p>\n<p><iframe loading=\"lazy\" frameborder=\"0\" height=\"510\" src=\"http:\/\/www.youtube.com\/embed\/yVkdfJ9PkRQ\" width=\"640\"><\/iframe><\/p>\n<p>Per the YouTube page:<\/p>\n<blockquote><p>Fifteen uncoupled simple pendulums of monotonically increasing lengths  dance together to produce visual traveling waves, standing waves,  beating, and (seemingly) random motion.<\/p>\n<p>For more details see <a title=\"http:\/\/sciencedemonstrations.fas.harvard.edu\/icb\/icb.do?keyword=k16940&amp;pageid=icb.page80863&amp;pageContentId=icb.pagecontent341734&amp;state=maximize&amp;view=view.do&amp;viewParam_name=indepth.html#a_icb_pagecontent341734\" dir=\"ltr\" rel=\"nofollow\" href=\"http:\/\/sciencedemonstrations.fas.harvard.edu\/icb\/icb.do?keyword=k16940&amp;pageid=icb.page80863&amp;pageContentId=icb.pagecontent341734&amp;state=maximize&amp;view=view.do&amp;viewParam_name=indepth.html#a_icb_pagecontent341734\" target=\"_blank\">http:\/\/sciencedemonstrations.fas.harvard.edu\/icb\/icb.do?keyword=k16940&amp;pa&#8230;<\/a><\/p>\n<p>The  period of one complete cycle of the dance is 60 seconds. The length of  the longest pendulum has been adjusted so that it executes 51  oscillations in this 60 second period. The length of each successive  shorter pendulum is carefully adjusted so that it executes one  additional oscillation in this period. Thus, the 15th pendulum  (shortest) undergoes 65 oscillations.<\/p>\n<p>Our apparatus was built  from a design published by Richard Berg [Am J Phys 59(2), 186-187  (1991)] at the University of Maryland. The particular apparatus shown  here was built by our own Nils Sorensen.<\/p>\n<p>Like us on Facebook! <a title=\"http:\/\/www.facebook.com\/NatSciDemos\" dir=\"ltr\" rel=\"nofollow\" href=\"http:\/\/www.facebook.com\/NatSciDemos\" target=\"_blank\">http:\/\/www.facebook.com\/NatSciDemos<\/a><\/p>\n<p>Video courtesy of Harvard Natural Sciences Lecture Demonstrations, \u00a9 2010 President and Fellows of Harvard College<\/p><\/blockquote>\n<p><small>(via <a href=\"http:\/\/kottke.org\/11\/05\/pendulum-waves\">kottke<\/a> and <a href=\"https:\/\/www.google.com\/reader\/view\/user\/07265845059253957572\/state\/com.google\/broadcast\">George<\/a>)<\/small><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is simple. And lovely.\u00a0 Math in motion &#8230; Per the YouTube page: Fifteen uncoupled simple pendulums of monotonically increasing lengths dance together to produce visual traveling waves, standing waves, beating, and (seemingly) random motion. For more details see http:\/\/sciencedemonstrations.fas.harvard.edu\/icb\/icb.do?keyword=k16940&amp;pa&#8230; The period of one complete cycle of the dance is 60 seconds. The length of &hellip; <a href=\"https:\/\/hill-kleerup.org\/blog\/2011\/05\/12\/pendulum-swing-like-a-pendulum-do.html\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Pendulum Swing Like A Pendulum Do&#8221;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"","_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[6],"tags":[],"class_list":["post-21024","post","type-post","status-publish","format-standard","hentry","category-science"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack-related-posts":[{"id":7717,"url":"https:\/\/hill-kleerup.org\/blog\/2005\/01\/13\/legal_cycles_of.html","url_meta":{"origin":21024,"position":0},"title":"Legal cycles of indeterminate length","author":"***Dave","date":"Thu 13-Jan-05 9:15am","format":false,"excerpt":"Back in the Dark Ages, when I was in high school debate, one of the annual topics (my sophomore year, as I recall) was Legal Reform. One of the hot...","rel":"","context":"In &quot;Crime &amp; Punishment&quot;","block_context":{"text":"Crime &amp; Punishment","link":"https:\/\/hill-kleerup.org\/blog\/category\/politics-law\/crime-punishment"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":35,"url":"https:\/\/hill-kleerup.org\/blog\/2003\/07\/09\/oscillations.html","url_meta":{"origin":21024,"position":1},"title":"Oscillations","author":"***Dave","date":"Wed 9-Jul-03 3:39pm","format":false,"excerpt":"After mismanaging sexual assault and rape cases at the US Air Force Academy for years, then mismanaging the reaction to a sudden flurry of media coverage of same, the Air...","rel":"","context":"In &quot;ZT &amp; PC&quot;","block_context":{"text":"ZT &amp; PC","link":"https:\/\/hill-kleerup.org\/blog\/category\/zt-pc"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":7611,"url":"https:\/\/hill-kleerup.org\/blog\/2005\/01\/26\/imbibing_whilst.html","url_meta":{"origin":21024,"position":2},"title":"Imbibing Whilst Birthing Babies","author":"***Dave","date":"Wed 26-Jan-05 11:45am","format":false,"excerpt":"Interesting article about alcohol use and pregnancy, and the volatility of the issues that have come about since Fetal Alcohol Syndrome was identified. When Janet Golden was kicking around in...","rel":"","context":"In &quot;Health&quot;","block_context":{"text":"Health","link":"https:\/\/hill-kleerup.org\/blog\/category\/health"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":10126,"url":"https:\/\/hill-kleerup.org\/blog\/2006\/08\/29\/a_thing_of_beau.html","url_meta":{"origin":21024,"position":3},"title":"A thing of beauty","author":"***Dave","date":"Tue 29-Aug-06 7:17am","format":false,"excerpt":"Nike ran a set of high-speed digital cameras on Tiger Woods driving a ball. The resulting slow motion replays are like watching ballet (in a good way). He makes it...","rel":"","context":"In &quot;Golf&quot;","block_context":{"text":"Golf","link":"https:\/\/hill-kleerup.org\/blog\/category\/golf"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":5763,"url":"https:\/\/hill-kleerup.org\/blog\/2004\/07\/21\/peaceable_assem.html","url_meta":{"origin":21024,"position":4},"title":"Peaceable Assembly","author":"***Dave","date":"Wed 21-Jul-04 9:59am","format":false,"excerpt":"The pendulum swings ... While this country was founded out of protest, the Founders themselves decided it was necessary to add an amendment to the Constitution -- the first --...","rel":"","context":"In &quot;ZT &amp; PC&quot;","block_context":{"text":"ZT &amp; PC","link":"https:\/\/hill-kleerup.org\/blog\/category\/zt-pc"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":1625,"url":"https:\/\/hill-kleerup.org\/blog\/2001\/12\/02\/rudolph_redux.html","url_meta":{"origin":21024,"position":5},"title":"Rudolph Redux","author":"***Dave","date":"Sun 2-Dec-01 8:38pm","format":false,"excerpt":"I grew up on the 1964 Rankin-Bass \"Rudolph the Red-Nosed Reindeer\" special, though it's been years since I've seen it. This year I'm seeing commercials for a new \"sequel.\" Interestingly...","rel":"","context":"In &quot;Media &amp; Culture&quot;","block_context":{"text":"Media &amp; Culture","link":"https:\/\/hill-kleerup.org\/blog\/category\/media"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"_links":{"self":[{"href":"https:\/\/hill-kleerup.org\/blog\/wp-json\/wp\/v2\/posts\/21024","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hill-kleerup.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hill-kleerup.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hill-kleerup.org\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/hill-kleerup.org\/blog\/wp-json\/wp\/v2\/comments?post=21024"}],"version-history":[{"count":0,"href":"https:\/\/hill-kleerup.org\/blog\/wp-json\/wp\/v2\/posts\/21024\/revisions"}],"wp:attachment":[{"href":"https:\/\/hill-kleerup.org\/blog\/wp-json\/wp\/v2\/media?parent=21024"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hill-kleerup.org\/blog\/wp-json\/wp\/v2\/categories?post=21024"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hill-kleerup.org\/blog\/wp-json\/wp\/v2\/tags?post=21024"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}