{"id":246,"date":"2020-04-14T22:11:04","date_gmt":"2020-04-14T22:11:04","guid":{"rendered":"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/?page_id=246"},"modified":"2026-05-13T07:12:49","modified_gmt":"2026-05-13T07:12:49","slug":"robervalsbalance","status":"publish","type":"page","link":"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/exhibits\/mechanics\/robervalsbalance\/","title":{"rendered":"Roberval&#8217;s Balance"},"content":{"rendered":"<h1 style=\"margin-top:var(--wp--preset--spacing--50);margin-bottom:var(--wp--preset--spacing--20)\" class=\"is-style-mini-bar wp-block-post-title\">Roberval&#8217;s Balance<\/h1>\n\n\n<div class=\"wp-block-group alignfull has-base-background-color has-background has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\" style=\"margin-top:0;margin-bottom:0;padding-top:var(--wp--preset--spacing--40);padding-bottom:var(--wp--preset--spacing--60)\">\n<div class=\"wp-block-columns alignnone is-layout-flex wp-container-core-columns-is-layout-b4b75a54 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-group is-layout-constrained has-global-padding wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-b4b75a54 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"300\" src=\"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-content\/uploads\/sites\/10\/2020\/04\/RobervalsBalance-1i.jpg\" alt=\"\" class=\"wp-image-247\" srcset=\"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-content\/uploads\/sites\/10\/2020\/04\/RobervalsBalance-1i.jpg 400w, https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-content\/uploads\/sites\/10\/2020\/04\/RobervalsBalance-1i-300x225.jpg 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"300\" src=\"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-content\/uploads\/sites\/10\/2020\/04\/RobervalsBalance-2i.jpg\" alt=\"\" class=\"wp-image-248\" srcset=\"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-content\/uploads\/sites\/10\/2020\/04\/RobervalsBalance-2i.jpg 400w, https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-content\/uploads\/sites\/10\/2020\/04\/RobervalsBalance-2i-300x225.jpg 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"300\" src=\"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-content\/uploads\/sites\/10\/2020\/04\/RobervalsBalance-3i.jpg\" alt=\"\" class=\"wp-image-249\" srcset=\"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-content\/uploads\/sites\/10\/2020\/04\/RobervalsBalance-3i.jpg 400w, https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-content\/uploads\/sites\/10\/2020\/04\/RobervalsBalance-3i-300x225.jpg 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Here you see that weights A and B are connected by a parallelogram that has equal arms. When B descends by a distance, A rises by the same distance, and thus the weights move equal distances.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"579\" height=\"226\" src=\"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-content\/uploads\/sites\/10\/2020\/04\/RobervalsBalance.png\" alt=\"\" class=\"wp-image-250\" srcset=\"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-content\/uploads\/sites\/10\/2020\/04\/RobervalsBalance.png 579w, https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-content\/uploads\/sites\/10\/2020\/04\/RobervalsBalance-300x117.png 300w\" sizes=\"auto, (max-width: 579px) 100vw, 579px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Interestingly, the weights balance regardless of position on the arms. This is a useful property for a balance. When the weights are positioned at different positions along the arms, the difference in torque produces compression and tension within the horizontal members of the parallelogram but no net torque around the pivot points.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><i><b><a href=\"https:\/\/wiki.physics.wisc.edu\/facultywiki\/Demonstrations\">Physics Lecture Demonstration Database<\/a><\/b><\/i><\/p>\n\n\n\n<ul class=\"wp-block-list is-style-more-space\">\n<li><a href=\"http:\/\/www.lhup.edu\/~dsimanek\/museum\/roberval.htm\">Roberval Balance<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/fr.wikipedia.org\/wiki\/Gilles_Personne_de_Roberval\">Gilles Personne de Roberval<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Here you see that weights A and B are connected by a parallelogram that has equal arms. When B descends by a distance, A rises by the same distance, and thus the weights move equal distances. Interestingly, the weights balance regardless of position on the arms. This is a useful property for a balance. When &hellip;<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":50,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_uw_migration_status":"complete","_uw_gutenberg_post_content_before_migration":"","_uw_seo_meta_title":"","_uw_seo_meta_description":"","_uw_seo_twitter_card_type":"","_uw_seo_meta_image":"","_uw_seo_meta_image_url":"","_uw_seo_meta_image_sizes":[],"_uw_seo_custom_meta_tags":[],"footnotes":""},"class_list":["post-246","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-json\/wp\/v2\/pages\/246","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-json\/wp\/v2\/comments?post=246"}],"version-history":[{"count":5,"href":"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-json\/wp\/v2\/pages\/246\/revisions"}],"predecessor-version":[{"id":1004,"href":"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-json\/wp\/v2\/pages\/246\/revisions\/1004"}],"up":[{"embeddable":true,"href":"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-json\/wp\/v2\/pages\/50"}],"wp:attachment":[{"href":"https:\/\/www.physics.wisc.edu\/ingersollmuseum\/wp-json\/wp\/v2\/media?parent=246"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}