{"id":6749,"date":"2024-04-15T02:33:36","date_gmt":"2024-04-15T02:33:36","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6749"},"modified":"2024-04-15T02:33:36","modified_gmt":"2024-04-15T02:33:36","slug":"a-cylinder-will-slip-on-an-inclined-plane-of-inclination-angle-theta-if-the-coefficient-of-static-friction-between-plane-and-cylinder-is-a-less-than-frac13tan-theta-b-less-than","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-cylinder-will-slip-on-an-inclined-plane-of-inclination-angle-theta-if-the-coefficient-of-static-friction-between-plane-and-cylinder-is-a-less-than-frac13tan-theta-b-less-than\/","title":{"rendered":"A cylinder will slip on an inclined plane of inclination angle $$\\theta $$ if the coefficient of static friction between plane and cylinder is A. less than $$\\frac{1}{3}\\tan \\theta $$ B. less than $$\\frac{2}{3}\\tan \\theta $$ C. less than $$\\frac{1}{3}\\sin \\theta $$ D. less than $$\\frac{2}{3}\\sin \\theta $$"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a9d085b07c65\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"true\">\r\n                    less than $$\frac{1}{3}\tan \theta $$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    less than $$\frac{2}{3}\tan \theta $$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    less than $$\frac{1}{3}sin \theta $$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    less than $$\frac{2}{3}sin \theta $$                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is: A. less than $\\frac{1}{3}\\tan \\theta$<\/p>\n<p>The coefficient of static friction is the ratio of the maximum static friction force to the normal force. The normal force is the force perpendicular to the surface of contact. The maximum static friction force is the maximum force that can be applied to an object without causing it to move.<\/p>\n<p>When an object is placed on an inclined plane, the force of gravity pulls it down the plane. The normal force is the force that the plane exerts on the object to prevent it from falling through the plane. The static friction force is the force that opposes the motion of the object down the plane.<\/p>\n<p>If the coefficient of static friction is less than $\\frac{1}{3}\\tan \\theta$, then the static friction force will be less than the force of gravity. In this case, the object will slide down the plane.<\/p>\n<p>If the coefficient of static friction is greater than $\\frac{1}{3}\\tan \\theta$, then the static friction force will be greater than the force of gravity. In this case, <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                  <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div>   <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> the object will not slide down the plane.<\/p>\n<p>The other options are incorrect because they do not take into account the coefficient of static friction.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Join Our Telegram Channel Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[645],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A cylinder will slip on an inclined plane of inclination angle $$\\theta $$ if the coefficient of static friction between plane and cylinder is A. less than $$\\frac{1}{3}\\tan \\theta $$ B. less than $$\\frac{2}{3}\\tan \\theta $$ C. less than $$\\frac{1}{3}\\sin \\theta $$ D. less than $$\\frac{2}{3}\\sin \\theta $$<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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