{"id":5615,"date":"2025-07-22T10:40:51","date_gmt":"2025-07-22T05:10:51","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=5615"},"modified":"2025-07-22T10:41:15","modified_gmt":"2025-07-22T05:11:15","slug":"elliptical-trammel","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/me\/theory-of-machines\/elliptical-trammel","title":{"rendered":"Elliptical Trammel"},"content":{"rendered":"<h2>\u00a0First Inversion (Elliptical Trammel)<\/h2>\n<p style=\"text-align: justify;\">It is a device to draw an ellipse. Fig. shows an elliptical trammel in which two grooves are cut at right angles in a plate that is fixed. The plate forms the fixed link 4. Two sliding blocks are fitted into the grooves. The slides form two sliding links 1 and 3. The link joining slides form the link 2. Any point on link 2 or on its extension traces out an ellipse on the fixed plate, when relative motion occurs.<\/p>\n<p style=\"text-align: center;\">x = BC cos \u03b8<\/p>\n<p style=\"text-align: center;\">or,\u00a0 x\/BC = cos \u03b8<\/p>\n<p style=\"text-align: center;\">y = AC sin \u03b8<\/p>\n<p style=\"text-align: center;\">or,\u00a0 y\/AC = sin \u03b8<\/p>\n<p style=\"text-align: center;\">Squaring and adding, we get<\/p>\n<p style=\"text-align: center;\">x\u00b2\/BC\u00b2 + y\u00b2\/AC\u00b2 = 1 &#8230;..(1.11)<\/p>\n<p style=\"text-align: center;\">Eq. 1.11 is called the equation of an ellipse.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-5616 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/07\/elliptical-trammel.jpg\" alt=\"Elliptical Trammel \" width=\"248\" height=\"241\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0First Inversion (Elliptical Trammel) It is a device to draw an ellipse. Fig. shows an elliptical trammel in which two<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[287,10],"tags":[362,1670,361],"class_list":["post-5615","post","type-post","status-publish","format-standard","hentry","category-theory-of-machines","category-me","tag-elliptical-trammel","tag-equation-of-an-ellipse","tag-first-inversion"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/5615","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=5615"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/5615\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=5615"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=5615"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=5615"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}