{"id":156842,"date":"2023-09-02T14:28:18","date_gmt":"2023-09-02T08:58:18","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156842"},"modified":"2023-09-02T14:28:21","modified_gmt":"2023-09-02T08:58:21","slug":"a-slender-uniform-rigid-bar-of-mass-%f0%9d%91%9a-is-hinged-at-o-and-supported-by-two-springs-with-stiffnesses-3%f0%9d%91%98-and-%f0%9d%91%98","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-slender-uniform-rigid-bar-of-mass-%f0%9d%91%9a-is-hinged-at-o-and-supported-by-two-springs-with-stiffnesses-3%f0%9d%91%98-and-%f0%9d%91%98\/","title":{"rendered":"A slender uniform rigid bar of mass \ud835\udc5a is hinged at O and supported by two springs, with stiffnesses 3\ud835\udc58 and \ud835\udc58"},"content":{"rendered":"\n<p>Q. A slender uniform rigid bar of mass \ud835\udc5a is hinged at O and supported by two springs, with stiffnesses 3\ud835\udc58 and \ud835\udc58, and a damper with damping coefficient \ud835\udc50, as shown in the figure. For the system to be critically damped, the ratio \ud835\udc50\/\u221a\ud835\udc58\ud835\udc5a should be<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"313\" height=\"165\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-710-1.png\" alt=\"\" class=\"wp-image-156845\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-710-1.png 313w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-710-1-300x158.png 300w\" sizes=\"(max-width: 313px) 100vw, 313px\" \/><\/figure>\n\n\n\n<p>Ans: 4\u221a7<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"173\" height=\"442\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-711.png\" alt=\"\" class=\"wp-image-156846\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-711.png 173w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-711-117x300.png 117w\" sizes=\"(max-width: 173px) 100vw, 173px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. A slender uniform rigid bar of mass \ud835\udc5a is hinged at O and supported by two springs, with stiffnesses 3\ud835\udc58 and \ud835\udc58, and a damper with damping coefficient \ud835\udc50, as shown in the figure. For the system to be critically damped, the ratio \ud835\udc50\/\u221a\ud835\udc58\ud835\udc5a should be Ans: 4\u221a7 Sol:<\/p>\n","protected":false},"author":419,"featured_media":156847,"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-156842","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\/156842","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=156842"}],"version-history":[{"count":2,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156842\/revisions"}],"predecessor-version":[{"id":156848,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156842\/revisions\/156848"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156847"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156842"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156842"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156842"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}