{"id":156900,"date":"2023-09-04T11:20:32","date_gmt":"2023-09-04T05:50:32","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156900"},"modified":"2023-09-04T11:20:35","modified_gmt":"2023-09-04T05:50:35","slug":"a-uniform-disc-with-radius-%f0%9d%91%9f-and-a-mass-of-%f0%9d%91%9a-kg-is-mounted-centrally-on-a-horizontal-axle-of-negligible-mass-and-length-of-1-5%f0%9d%91%9f-the-disc-spins-counter-clockwise","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-uniform-disc-with-radius-%f0%9d%91%9f-and-a-mass-of-%f0%9d%91%9a-kg-is-mounted-centrally-on-a-horizontal-axle-of-negligible-mass-and-length-of-1-5%f0%9d%91%9f-the-disc-spins-counter-clockwise\/","title":{"rendered":"A uniform disc with radius \ud835\udc5f and a mass of \ud835\udc5a kg is mounted centrally on a horizontal axle of negligible mass and length of 1.5\ud835\udc5f. The disc spins counter-clockwise"},"content":{"rendered":"\n<p>Q. A uniform disc with radius \ud835\udc5f and a mass of \ud835\udc5a kg is mounted centrally on a horizontal axle of negligible mass and length of 1.5\ud835\udc5f. The disc spins counter-clockwise about the axle with angular speed \ud835\udf14, when viewed from the right-hand side bearing, Q. The axle precesses about a vertical axis at \ud835\udf14<sub>\ud835\udc5d<\/sub> = \ud835\udf14 \u2044 10 in the clockwise direction when viewed from above. Let \ud835\udc45<sub>\ud835\udc43<\/sub> and \ud835\udc45<sub>\ud835\udc44<\/sub> (positive upwards) be the resultant reaction forces due to the mass and the gyroscopic effect, at bearings P and Q, respectively. Assuming \ud835\udf14<sup>2<\/sup> \ud835\udc5f = 300 m\/s<sup>2<\/sup> and \ud835\udc54 = 10 m\/s<sup>2<\/sup>, the ratio of the larger to the smaller bearing reaction force (considering appropriate signs) is \u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-727.png\" alt=\"\" class=\"wp-image-156901\" style=\"width:364px;height:292px\" width=\"364\" height=\"292\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-727.png 486w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-727-300x241.png 300w\" sizes=\"(max-width: 364px) 100vw, 364px\" \/><\/figure>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n\n\n\n<p>Ans: -3<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"315\" height=\"568\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-728.png\" alt=\"\" class=\"wp-image-156902\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-728.png 315w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-728-166x300.png 166w\" sizes=\"(max-width: 315px) 100vw, 315px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. A uniform disc with radius \ud835\udc5f and a mass of \ud835\udc5a kg is mounted centrally on a horizontal axle of negligible mass and length of 1.5\ud835\udc5f. The disc spins counter-clockwise about the axle with angular speed \ud835\udf14, when viewed from the right-hand side bearing, Q. The axle precesses about a vertical axis at \ud835\udf14\ud835\udc5d [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":156903,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-156900","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156900","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=156900"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156900\/revisions"}],"predecessor-version":[{"id":156904,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156900\/revisions\/156904"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156903"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156900"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156900"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156900"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}