{"id":283436,"date":"2016-09-22T02:00:00","date_gmt":"2016-09-21T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=28393a424f84c46d916fa885430f1f4d"},"modified":"2016-09-22T02:00:00","modified_gmt":"2016-09-21T23:00:00","slug":"atwood-and-poggendorff-an-insightful-analogy","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=283436","title":{"rendered":"Atwood and Poggendorff: an insightful analogy"},"content":{"rendered":"<p>Atwood\u2019s treatise, in which the Atwood machine appears, was published in 1784. About 70 years later,<br \/>\nPoggendorff showed experimentally that the weight of an Atwood machine is reduced when it is brought<br \/>\nto motion. In the present paper, a twofold connection between this experiment and the Atwood machine<br \/>\nis established. Firstly, if the Poggendorff apparatus is taken as an ideal one, the equations of<br \/>\nmotion of the apparatus coincide with the equations of motion of the compound Atwood machine.<br \/>\nSecondly, if the Poggendorff apparatus, which works as a lever, is rebalanced, the equations of this<br \/>\nequilibrium provide us with the solution for a compound Atwood machine with the same bodies. This<br \/>\nanalogy is pedagogically useful because it illustrates a common strategy to transform a dynamic in a<br \/>\nstatic situation improving students\u2019 comprehension of Newton\u2019s laws and equilibrium.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Atwood\u2019s treatise, in which the Atwood machine appears, was published in 1784. About 70 years later,<br \/>\nPoggendorff showed experimentally that the weight of an Atwood machine is reduced when it is brought<br \/>\nto motion. In the present paper, a twofold con&#8230;<\/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-283436","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\/283436","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=283436"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/283436\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=283436"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=283436"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=283436"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}