{"id":7122,"date":"2022-07-16T02:31:54","date_gmt":"2022-07-16T02:31:54","guid":{"rendered":"https:\/\/physics.educour.in\/isc-physics\/?p=7122"},"modified":"2022-07-16T07:07:21","modified_gmt":"2022-07-16T07:07:21","slug":"friction-notes","status":"publish","type":"post","link":"https:\/\/physics.educour.in\/isc-physics\/friction-notes\/","title":{"rendered":"Static and Kinetic friction"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"7122\" class=\"elementor elementor-7122\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f9fe132 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f9fe132\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-51e096c\" data-id=\"51e096c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a656f69 elementor-widget elementor-widget-text-editor\" data-id=\"a656f69\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h4><span style=\"color: #000080;\">Contents<\/span><\/h4>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5fd2427 elementor-widget elementor-widget-text-editor\" data-id=\"5fd2427\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ol><li><a href=\"https:\/\/physics.educour.in\/isc-physics\/friction-notes\/#friction\">Friction<\/a><\/li><li><a href=\"https:\/\/physics.educour.in\/isc-physics\/friction-notes\/#static-friction\">Static Friction<\/a><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d5156e5 elementor-widget elementor-widget-text-editor\" data-id=\"d5156e5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ul><li><p><a href=\"https:\/\/physics.educour.in\/isc-physics\/friction-notes\/#properties-static\"><span style=\"color: #000080;\">Properties of Static Friction<\/span><\/a><\/p><\/li><li><p><a href=\"https:\/\/physics.educour.in\/isc-physics\/friction-notes\/#numerical-static\">Numerical Problems on Static Friction<\/a><\/p><\/li><li><a href=\"https:\/\/physics.educour.in\/isc-physics\/friction-notes\/#angle-of-friction\">Angle of friction<\/a><\/li><li><a href=\"https:\/\/physics.educour.in\/isc-physics\/friction-notes\/#angle_of_repose\">Angle of Repose<\/a><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-36707f7 elementor-widget elementor-widget-text-editor\" data-id=\"36707f7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><a href=\"https:\/\/physics.educour.in\/isc-physics\/friction-notes\/#kinetic\">3. Kinetic or Sliding Friction<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-86b738c elementor-widget elementor-widget-text-editor\" data-id=\"86b738c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ul><li><a href=\"https:\/\/physics.educour.in\/isc-physics\/friction-notes\/#properties-kinetic\">Properties of Kinetic or Sliding Friction<\/a><\/li><li><a href=\"https:\/\/physics.educour.in\/isc-physics\/friction-notes\/#comparison\">Comparison between f<sub>sm<\/sub> and f<sub>k<\/sub><\/a><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-8b4a46f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8b4a46f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0ff8f1a\" data-id=\"0ff8f1a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7a2e9cd elementor-widget elementor-widget-menu-anchor\" data-id=\"7a2e9cd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"menu-anchor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-menu-anchor\" id=\"friction\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1eecf7d elementor-widget elementor-widget-text-editor\" data-id=\"1eecf7d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h1 style=\"text-align: center;\"><span style=\"color: #000080;\">Friction<\/span><\/h1>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ce35013 elementor-widget elementor-widget-text-editor\" data-id=\"ce35013\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Whenever surface of a body tend to move on or actually moves relative to another \u00a0surface in contact, an opposing force is generated between the surfaces. This phenomenon is called <strong>\u2018friction\u2019<\/strong> and the opposing force is called <strong>frictional force<\/strong>.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0978f2e elementor-widget elementor-widget-text-editor\" data-id=\"0978f2e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>There are of three types of friction:<\/p><ol><li>Static Friction.<\/li><li>Sliding Friction or Kinetic Friction.<\/li><li>Rolling Friction.<\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2597e89 elementor-widget elementor-widget-menu-anchor\" data-id=\"2597e89\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"menu-anchor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-menu-anchor\" id=\"static-friction\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d827173 elementor-widget elementor-widget-text-editor\" data-id=\"d827173\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2><span style=\"color: #000080;\">Static Friction<\/span><\/h2>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4e4832e elementor-widget elementor-widget-text-editor\" data-id=\"4e4832e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Whenever surface of a body at rest, tend to move on another surface in contact, an opposing force is generated between the surfaces. This phenomenon is called <span style=\"color: #000080;\"><strong>static friction<\/strong><\/span> and the opposing force is called <span style=\"color: #000080;\"><strong>force of static friction (f<sub>s<\/sub>).<\/strong><\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2a4d12e elementor-widget elementor-widget-menu-anchor\" data-id=\"2a4d12e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"menu-anchor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-menu-anchor\" id=\"properties-static\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a8a2464 elementor-widget elementor-widget-text-editor\" data-id=\"a8a2464\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3><span style=\"color: #000080;\">Properties of Static Friction<\/span><\/h3>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b6c8ba7 elementor-widget elementor-widget-text-editor\" data-id=\"b6c8ba7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ol><li>Force of static friction is a contact force.<\/li><li>Force of static frictions is generated tangential to the surfaces in contact and it is in the direction opposite to the direction in which body tend to move.<\/li><li>Force of static friction is a self adjusting force i.e. it can adjust its value according to the net external force acting on the body up to a maximum limit. This maximum limit up to which the force of static friction can increases its value is known as <span style=\"color: #000080;\"><strong>limiting force of static friction<\/strong><\/span> [f<sub>sm<\/sub> or f<sub>s<\/sub><sup> max<\/sup>]<\/li><li>The value of f<sub>sm<\/sub> doesn\u2019t depend upon the area of contact between the two surfaces.<\/li><li>Value of f<sub>sm<\/sub> is directly proportional to the normal force acting between the two force i.e.\u00a0 \u00a0 \u00a0 \u00a0f<sub>sm<\/sub> \u221d N<\/li><\/ol><p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Or\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <span style=\"color: #000080;\"><strong>f<sub>sm<\/sub> = \u03bc<sub>s<\/sub> N\u00a0<\/strong><\/span>\u00a0 \u00a0 &#8230;&#8230;&#8230;.\u2026\u2026\u2026..(1)<\/p><p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Where \u03bc<sub>s <\/sub>is a constant for the pair of surfaces in contact and it is called \u2018coefficient of static friction\u2019.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-45a1771 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"45a1771\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-16526f5\" data-id=\"16526f5\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-417de4b elementor-widget elementor-widget-text-editor\" data-id=\"417de4b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2 style=\"text-align: center;\"><span style=\"color: #000080;\">Static Friction (Video)<\/span><\/h2>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7ce4a25 elementor-widget elementor-widget-text-editor\" data-id=\"7ce4a25\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: center;\"><strong><span style=\"color: #ff0000; font-size: 14pt;\">In Hindi + English Mix<\/span><\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-03b5567 elementor-widget elementor-widget-video\" data-id=\"03b5567\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;vimeo&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<iframe class=\"elementor-video-iframe\" allowfullscreen allow=\"clipboard-write\" title=\"vimeo Video Player\" src=\"https:\/\/player.vimeo.com\/video\/729493462?color&amp;autopause=0&amp;loop=0&amp;muted=0&amp;title=1&amp;portrait=1&amp;byline=1#t=\"><\/iframe>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-c5f0f61 elementor-widget elementor-widget-menu-anchor\" data-id=\"c5f0f61\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"menu-anchor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-menu-anchor\" id=\"numerical-static\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-49903bf elementor-widget elementor-widget-text-editor\" data-id=\"49903bf\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"color: #000080;\"><strong>Example.<\/strong><\/span><\/p><p>A block of mass 5 kg is kept on a rough horizontal surface (m<sub>s<\/sub>= 0.4). When a horizontal force of 5N is applied on it. What is the force of static friction on the body.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-3796182 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3796182\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-8e9c387\" data-id=\"8e9c387\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cd3fa78 elementor-widget elementor-widget-text-editor\" data-id=\"cd3fa78\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"color: #000080;\"><strong>Solution.<\/strong>\u00a0<\/span> \u00a0 N = mg\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/p><p>So, N = 5 x 10 N= 50N<\/p><p>Again, F<sub>sm<\/sub> = \u03bc<sub>s<\/sub>N\u00a0 = 0.4 x 50\u00a0 = 20N\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p><p>Since, the value of the force (which tend to move the body) is lesser than F<sub>sm<\/sub> , it is within the self adjusting range and thereby, f<sub>s<\/sub> = F = 5N,<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-35b8b51\" data-id=\"35b8b51\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-eef4a98 elementor-widget elementor-widget-text-editor\" data-id=\"eef4a98\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"color: #000080;\"><strong>Example.<\/strong><\/span><\/p><p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 A vehicle is being moved with some acceleration. A block is kept at rest on the horizontal surface of the vehicle. If coefficient of static friction between the block and the surface is 0.5, determine the maximum possible value acceleration of the vehicle.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-ce0869b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ce0869b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-6f13ad6\" data-id=\"6f13ad6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5040d07 elementor-widget elementor-widget-text-editor\" data-id=\"5040d07\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"color: #000080;\"><strong>Solution.<\/strong><\/span> \u00a0<\/p><p>As the vehicle moves forward with acceleration, there is a <strong>pseudo<\/strong> force acting on the block in the opposite direction. The pseudo force is given by\u00a0\u00a0\u00a0 Fp= ma<sub>0<\/sub>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u2026\u2026\u2026..(1)<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-6074c78\" data-id=\"6074c78\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-8c1570e elementor-widget elementor-widget-text-editor\" data-id=\"8c1570e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>But the force of static friction will balance Fp. As acceleration a<sub>0<\/sub> is increased, Fp increases and fs also increase. So, in limiting case\u00a0\u00a0\u00a0 Fp<sub>max<\/sub> = f<sub>sm\u00a0\u00a0\u00a0<\/sub><\/p><p>Or,\u00a0 ma<sub>0<\/sub> <sub>max<\/sub> = \u03bc<sub>s<\/sub>N.\u00a0\u00a0<\/p><p>Or,\u00a0 ma<sub><span style=\"font-size: 8pt;\">O<\/span>max<\/sub> = \u03bc<sub>s<\/sub>mg<\/p><p>Or,\u00a0 a<sub><span style=\"font-size: 8pt;\">O<\/span>max<\/sub> = \u03bc<sub>s<\/sub>g<\/p><p>\u00a0 \u00a0 \u00a0a<sub>0max<\/sub> = 5 m\/s<sup>2<\/sup><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e4f0c2b elementor-widget elementor-widget-text-editor\" data-id=\"e4f0c2b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"color: #000080;\"><strong>Example.<\/strong><\/span><\/p><p><strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/strong>A block of mass 2 kg is pressed against a rigid vertical wall by a horizontal force of 100N. If co-efficient of static and kinetic friction are each equal to 0.3 then find the magnitude and direction of frictional force on the block.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5c770a4 elementor-widget elementor-widget-text-editor\" data-id=\"5c770a4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong><span style=\"color: #000080;\">Solution: <\/span>\u00a0 <\/strong>Since weight of block is 20 N which is acting downward, it has tendency to move\u00a0the block downward. Hence the frictional force will be upward. Maximum value of\u00a0frictional force can be<\/p><p>\u00a0 \u00a0 \u00a0 f<sub>s(max)<\/sub> = \u03bcF<sub>n<\/sub><\/p><p>Where, F<sub>n <\/sub>is the normal force on the body.<\/p><p>As block is in equilibrium along horizontal<\/p><p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 F<sub>n<\/sub> = horizontal external force = 100 N<\/p><p>\u2234\u00a0 \u00a0 \u00a0f<sub>s(max)<\/sub> = 0.3 x 100 N = 30 N\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p><p>Since weight of the block is less than the limiting friction, it will not slide.<\/p><p>Therefore for vertical equilibrium, force of friction is f = 20N. (vertically upwards)<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8b03ffe elementor-widget elementor-widget-menu-anchor\" data-id=\"8b03ffe\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"menu-anchor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-menu-anchor\" id=\"angle-of-friction\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-208a9e5 elementor-widget elementor-widget-text-editor\" data-id=\"208a9e5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2><span style=\"color: #000080;\">Angle of Friction<\/span><\/h2>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-06d078f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"06d078f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-af90ecf\" data-id=\"af90ecf\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f64d379 elementor-widget elementor-widget-text-editor\" data-id=\"f64d379\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>The angle subtended by the resultant of the normal force and the limiting force of static friction with the direction of normal force is called angle of friction between the two surfaces\u00a0<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-55a0c1f\" data-id=\"55a0c1f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-9cf5f65 elementor-widget elementor-widget-text-editor\" data-id=\"9cf5f65\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Or\u00a0 \u00a0 \u00a0 \u00a0tan \u03bb = f<sub>sm<\/sub>\/N\u00a0<\/p><p>Or\u00a0 \u00a0 \u00a0 \u00a0tan \u03bb = \u03bc<sub>s<\/sub>N\/N<\/p><p>Or\u00a0\u00a0\u00a0\u00a0 tan \u03bb = \u03bc<sub>s<\/sub> \u00a0 \u2026\u2026\u2026\u2026\u2026(1)<\/p><p>Or\u00a0 \u00a0 \u03bb = tan<sup>-1<\/sup> \u03bc<sub>s<\/sub> \u2026\u2026\u2026\u2026.(2)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p><p>Since, for a given pair of surface \u00a0is constant, the angle of friction is also constant for a given pair of surface.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2b98beb elementor-widget elementor-widget-menu-anchor\" data-id=\"2b98beb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"menu-anchor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-menu-anchor\" id=\"angle_of_repose\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d3f132f elementor-widget elementor-widget-text-editor\" data-id=\"d3f132f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2><span style=\"color: #000080;\">Angle of Repose<\/span><\/h2>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-5fd3f87 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5fd3f87\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-5a888fc\" data-id=\"5a888fc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f38f85f elementor-widget elementor-widget-text-editor\" data-id=\"f38f85f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Maximum angle of inclination upto which a block kept on the inclined surface can remain at rest is known as angle of repose . Also above this angle the block starts sliding down due to its own weight<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-cc44c7f elementor-widget elementor-widget-text-editor\" data-id=\"cc44c7f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Along y \u2013axis:<\/p><p>\u2211F<sub>\u00a0<\/sub>=ma<sub>y<\/sub>\u00a0\u00a0<\/p><p>Or\u00a0\u00a0\u00a0\u00a0\u00a0 N &#8211; mg.cos\u03b8<sub>c<\/sub> = 0<\/p><p>Or\u00a0\u00a0\u00a0 N = mg.cos\u03b8<sub>c<\/sub> \u2026\u2026\u2026\u2026\u2026(1)<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-ec5a1fd\" data-id=\"ec5a1fd\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-cfc0da8 elementor-widget elementor-widget-text-editor\" data-id=\"cfc0da8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Along x \u2013 axis:\u00a0\u00a0\u00a0\u00a0 a<sub>x<\/sub> = 0,\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u2211F<sub>x<\/sub> = ma<sub>x<\/sub>\u00a0\u00a0\u00a0\u00a0<\/p><p>Or\u00a0 \u00a0 mgsin\u03b8<sub>c<\/sub> &#8211; F<sub>sm<\/sub> = 0\u00a0\u00a0<\/p><p>Or\u00a0\u00a0\u00a0\u00a0\u00a0 F<sub>sm<\/sub> = mg sin\u03b8<sub>c<\/sub><\/p><p>Or,\u00a0 \u00a0 \u00a0 \u03bc<sub>s<\/sub> N = mg sin \u03b8<sub>c<\/sub><\/p><p>Putting the value of N, from Eq.(1)<\/p><p>\u03bc<sub>s<\/sub>mg.cos\u03b8<sub>c<\/sub> = mg sin \u03b8<sub>c<\/sub><\/p><p>Or,\u00a0 \u00a0 \u03bc<sub>s<\/sub> = tan\u03b8<sub>c<\/sub> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u2026\u2026\u2026..(2)<\/p><p>Or\u00a0\u00a0\u00a0\u00a0\u00a0 \u03b8<sub>c<\/sub> = tan<sup>-1<\/sup>\u03bc<sub>s<\/sub>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0 \u2026\u2026\u2026..(3)<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2b293b6 elementor-widget elementor-widget-text-editor\" data-id=\"2b293b6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Note:<\/strong>\u00a0 \u00a0 \u00a0 \u00a0 Although value of angle of friction is same as that of angle of repose, but there physical significance [physical meaning] is different.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-e200752 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e200752\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-3ecf445\" data-id=\"3ecf445\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1a1e07f elementor-widget elementor-widget-menu-anchor\" data-id=\"1a1e07f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"menu-anchor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-menu-anchor\" id=\"angle_of_friction\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e82b859 elementor-widget elementor-widget-text-editor\" data-id=\"e82b859\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2 style=\"text-align: center;\"><span style=\"color: #000080;\">Angle of friction &amp; Angle of Repose (Video)<\/span><\/h2>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5da6355 elementor-widget elementor-widget-text-editor\" data-id=\"5da6355\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: center;\"><strong><span style=\"color: #ff0000; font-size: 14pt;\">In Hindi + English Mix<\/span><\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2698332 elementor-widget elementor-widget-video\" data-id=\"2698332\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;vimeo&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<iframe class=\"elementor-video-iframe\" allowfullscreen allow=\"clipboard-write\" title=\"vimeo Video Player\" src=\"https:\/\/player.vimeo.com\/video\/729494774?color&amp;autopause=0&amp;loop=0&amp;muted=0&amp;title=1&amp;portrait=1&amp;byline=1#t=\"><\/iframe>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-4a254d0 elementor-widget elementor-widget-menu-anchor\" data-id=\"4a254d0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"menu-anchor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-menu-anchor\" id=\"kinetic\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-127ca71 elementor-widget elementor-widget-text-editor\" data-id=\"127ca71\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2><span style=\"color: #000080;\">Kinetic Friction Or Sliding Friction<\/span><\/h2>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9ddcd61 elementor-widget elementor-widget-text-editor\" data-id=\"9ddcd61\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Whenever surface of a body moves on another surface in contact, there appears an opposing force between the surfaces in constant. This force is known a force of sliding friction or force of <strong><span style=\"color: #000080;\">kinetic friction(f<sub>k<\/sub>).<\/span><\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e66f451 elementor-widget elementor-widget-menu-anchor\" data-id=\"e66f451\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"menu-anchor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-menu-anchor\" id=\"properties-kinetic\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-159319c elementor-widget elementor-widget-text-editor\" data-id=\"159319c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3><span style=\"color: #000080;\">Properties of Force of Kinetic Friction<\/span><\/h3>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-49e63ce elementor-widget elementor-widget-text-editor\" data-id=\"49e63ce\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ol><li><strong><span style=\"color: #000080;\">Force of kinetic friction (fk)<\/span><\/strong> is generated tangential to the surfaces in contact and its direction is opposite to the direction of motion of the surface with respect to other surface.<\/li><li>The force of kinetic friction does not depend upon the area of contact between the two surfaces.<\/li><li>The force of kinetic friction between two surfaces is independent of relative speed of surfaces, provided it is too large or too small.<\/li><li>The magnitude of f<sub>k<\/sub> is directly proportional to the normal force that is acting between the two surface.<\/li><\/ol><ul><li style=\"list-style-type: none;\">\u00a0<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5c63459 elementor-widget elementor-widget-text-editor\" data-id=\"5c63459\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>i.e. \u00a0\u00a0\u00a0 f<sub>k<\/sub>\u00a0 \u221d N<\/p><p>or\u00a0\u00a0\u00a0\u00a0\u00a0 f<sub>k<\/sub> = \u03bc<sub>k<\/sub> N \u00a0\u00a0\u00a0 \u2026\u2026\u2026\u2026.(1)<\/p><p>Where of surfaces in constant for the known as coefficient of kinetic friction of the pair of surfaces.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1a042c2 elementor-widget elementor-widget-menu-anchor\" data-id=\"1a042c2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"menu-anchor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-menu-anchor\" id=\"comparison\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c568069 elementor-widget elementor-widget-text-editor\" data-id=\"c568069\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3><span style=\"color: #000080;\">Comparison between f<sub>sm<\/sub> and f<sub>k<\/sub><\/span><\/h3>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8e90a17 elementor-widget elementor-widget-text-editor\" data-id=\"8e90a17\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>For a given pair of surfaces value of \u03bc<sub>k<\/sub> is little less than \u03bc<sub>s<\/sub>.<\/p><p>\u00a0 i.e. \u00a0\u00a0\u00a0 \u03bc<sub>k<\/sub> &lt; \u03bc<sub>s<\/sub><\/p><p>or\u00a0\u00a0\u00a0\u00a0\u00a0 \u03bc<sub>K<\/sub> N &lt; \u03bc<sub>s<\/sub>N.<\/p><p>\u00a0or\u00a0 \u00a0 \u00a0 f<sub>k<\/sub> &lt; f<sub>sm<\/sub><\/p><p>i.e. for a given pair of surfaces in contact, the value of liniting force of static friction is a little mire than the value of kinetic friction, provided the normal force acting between the bodies is same in both the cases.<\/p><p>\u00a0<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-45b886f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"45b886f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-e90d52e\" data-id=\"e90d52e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c44b3ae elementor-widget elementor-widget-text-editor\" data-id=\"c44b3ae\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2 style=\"text-align: center;\"><span style=\"color: #000080;\">Kinetic Friction (Video)<\/span><\/h2>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5110c6f elementor-widget elementor-widget-text-editor\" data-id=\"5110c6f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: center;\"><strong><span style=\"color: #ff0000; font-size: 14pt;\">In Hindi + English Mix<\/span><\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-408249a elementor-widget elementor-widget-video\" data-id=\"408249a\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;vimeo&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<iframe class=\"elementor-video-iframe\" allowfullscreen allow=\"clipboard-write\" title=\"vimeo Video Player\" src=\"https:\/\/player.vimeo.com\/video\/729493565?color&amp;autopause=0&amp;loop=0&amp;muted=0&amp;title=1&amp;portrait=1&amp;byline=1#t=\"><\/iframe>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Contents Friction Static Friction Properties of Static Friction Numerical Problems on Static Friction Angle of friction Angle of Repose 3. Kinetic or Sliding Friction Properties of Kinetic or Sliding Friction Comparison between fsm and fk Friction Whenever surface of a body tend to move on or actually moves relative to another \u00a0surface in contact, an &#8230; <a title=\"Static and Kinetic friction\" class=\"read-more\" href=\"https:\/\/physics.educour.in\/isc-physics\/friction-notes\/\" aria-label=\"More on Static and Kinetic friction\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"post_folder":[52],"class_list":["post-7122","post","type-post","status-publish","format-standard","hentry","category-11-lecture-notes"],"_links":{"self":[{"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/posts\/7122","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/comments?post=7122"}],"version-history":[{"count":132,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/posts\/7122\/revisions"}],"predecessor-version":[{"id":7609,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/posts\/7122\/revisions\/7609"}],"wp:attachment":[{"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/media?parent=7122"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/categories?post=7122"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/tags?post=7122"},{"taxonomy":"post_folder","embeddable":true,"href":"https:\/\/physics.educour.in\/isc-physics\/wp-json\/wp\/v2\/post_folder?post=7122"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}