{"id":5017,"date":"2025-07-02T10:23:16","date_gmt":"2025-07-02T04:53:16","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=5017"},"modified":"2025-07-22T11:30:17","modified_gmt":"2025-07-22T06:00:17","slug":"angle-of-repose","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/me\/strength-of-materials\/angle-of-repose","title":{"rendered":"Angle of Repose"},"content":{"rendered":"<p style=\"text-align: justify;\">The maximum angle of inclination of an inclined plane with horizontal for which a body lying on the inclined plane will not slide due to its weight is known as the angle of repose.<\/p>\n<p style=\"text-align: justify;\">Consider a body of weight W resting on a rough plane inclined at an angle \u03b1. Consider the limiting equilibrium condition and resolving forces:<\/p>\n<p style=\"text-align: center;\">Normal to the plane W cos \u03b1 = N &#8230;(i)<\/p>\n<p style=\"text-align: center;\">Along the plane W sin \u03b1 = fL<\/p>\n<p style=\"text-align: center;\">fL = \u03bcN<\/p>\n<p style=\"text-align: center;\">W sin \u03b1 = \u03bcN &#8230; (ii)<\/p>\n<p>Dividing equations (ii) by (i), we get<\/p>\n<p style=\"text-align: center;\">tan \u03b1 = \u03bc<\/p>\n<p style=\"text-align: center;\">But we know that,<\/p>\n<p style=\"text-align: center;\">\u03bc = tan \u03c6<\/p>\n<p style=\"text-align: center;\">\u03c6= angle of friction<\/p>\n<p>Therefore, it can be stated that angle of repose is equal to the angle of <a href=\"https:\/\/study.madeeasy.in\/me\/strength-of-materials\/coefficient-of-friction\/\" target=\"_blank\" rel=\"noopener\">friction<\/a>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-5018 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/07\/Angle-of-Repose.jpg\" alt=\" Angle of Repose\" width=\"168\" height=\"145\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The maximum angle of inclination of an inclined plane with horizontal for which a body lying on the inclined plane<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1619,10],"tags":[1630],"class_list":["post-5017","post","type-post","status-publish","format-standard","hentry","category-strength-of-materials","category-me","tag-angle-of-repose"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/5017","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=5017"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/5017\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=5017"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=5017"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=5017"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}