{"id":156564,"date":"2023-08-31T15:15:54","date_gmt":"2023-08-31T09:45:54","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156564"},"modified":"2023-08-31T15:18:18","modified_gmt":"2023-08-31T09:48:18","slug":"a-uniform-thin-disk-of-mass-1-kg-and-radius-0-1-m-is-kept-on-a-surface-as-shown-in-the-figure-a-spring-of-stiffness-%f0%9d%91%981-400-n-m-is","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-uniform-thin-disk-of-mass-1-kg-and-radius-0-1-m-is-kept-on-a-surface-as-shown-in-the-figure-a-spring-of-stiffness-%f0%9d%91%981-400-n-m-is\/","title":{"rendered":"A uniform thin disk of mass 1 kg and radius 0.1 m is kept on a surface as shown in the figure. A spring of stiffness \ud835\udc581 = 400 N\/m is"},"content":{"rendered":"\n<p>Q. A uniform thin disk of mass 1 kg and radius 0.1 m is kept on a surface as shown in the figure. A spring of stiffness \ud835\udc58<sub>1<\/sub> = 400 N\/m is connected to the disk center A and another spring of stiffness \ud835\udc58<sub>2<\/sub> = 100 N\/m is connected at point B just above point A on the circumference of the disk. Initially, both the springs are unstretched. Assume pure rolling of the disk. For small disturbance from the\u00a0\u00a0 equilibrium, the natural\u00a0\u00a0 frequency of vibration of the\u00a0\u00a0 system is\u00a0\u00a0\u00a0 rad\/s (round off to one decimal place).<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/image-62.png\" alt=\"\" class=\"wp-image-156565\" style=\"width:235px;height:151px\" width=\"235\" height=\"151\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/image-62.png 381w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/image-62-300x193.png 300w\" sizes=\"auto, (max-width: 235px) 100vw, 235px\" \/><\/figure>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>As per given date<br>Disc mass,<\/p>\n\n\n\n<p>m = 1 kg<br>Radius, r = 0.1 m<br>torque equation about point &#8216;o&#8217;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"237\" height=\"265\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-674.png\" alt=\"\" class=\"wp-image-156569\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. A uniform thin disk of mass 1 kg and radius 0.1 m is kept on a surface as shown in the figure. A spring of stiffness \ud835\udc581 = 400 N\/m is connected to the disk center A and another spring of stiffness \ud835\udc582 = 100 N\/m is connected at point B just above point [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":156566,"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-156564","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\/156564","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=156564"}],"version-history":[{"count":2,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156564\/revisions"}],"predecessor-version":[{"id":156570,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156564\/revisions\/156570"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156566"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156564"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156564"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156564"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}