{"id":43994,"date":"2014-12-22T03:00:00","date_gmt":"2014-12-22T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=543ac8d8775f4ec4c5f3aa34efbdca62"},"modified":"2014-12-22T03:00:00","modified_gmt":"2014-12-22T00:00:00","slug":"free-fall-and-harmonic-oscillations-analyzing-trampoline-jumps","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=43994","title":{"rendered":"Free fall and harmonic oscillations: analyzing trampoline jumps"},"content":{"rendered":"<p>Trampolines can be found in many gardens and also in some playgrounds. They offer an easily<br \/>\naccessible vertical motion that includes free fall. In this work, the motion on a trampoline is<br \/>\nmodelled by assuming a linear relation between force and deflection, giving harmonic oscillations<br \/>\nfor small amplitudes. An expression for the cycle-time is obtained in terms of maximum normalized<br \/>\nforce from the trampoline and the harmonic frequency. A simple expression is obtained for the ratio<br \/>\nbetween air-time and harmonic period, and the maximum g -factor. The results are compared to<br \/>\nexperimental results, including accelerometer data showing 7 g during bounces on a small trampoline<br \/>\nin an amusement park play area. Similar results are obtained on a larger garden trampoline, and even<br \/>\nlarger accelerations have been measured for gymnastic trampolines.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Trampolines can be found in many gardens and also in some playgrounds. They offer an easily<br \/>\naccessible vertical motion that includes free fall. In this work, the motion on a trampoline is<br \/>\nmodelled by assuming a linear relation between force and defle&#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-43994","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\/43994","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=43994"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/43994\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=43994"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=43994"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=43994"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}