{"id":7917,"date":"2024-04-15T02:52:19","date_gmt":"2024-04-15T02:52:19","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=7917"},"modified":"2024-04-15T02:52:19","modified_gmt":"2024-04-15T02:52:19","slug":"if-b-is-the-wheel-track-of-a-vehicle-and-h-is-the-height-of-centre-of-gravity-above-road-surface-then-to-avoid-overturning-and-lateral-skidding-on-a-horizontal-curve-the-centrifugal-ratio-should-alw","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-b-is-the-wheel-track-of-a-vehicle-and-h-is-the-height-of-centre-of-gravity-above-road-surface-then-to-avoid-overturning-and-lateral-skidding-on-a-horizontal-curve-the-centrifugal-ratio-should-alw\/","title":{"rendered":"If b is the wheel track of a vehicle and h is the height of centre of gravity above road surface, then to avoid overturning and lateral skidding on a horizontal curve, the centrifugal ratio should always be A. Less than $$\\frac{{\\text{b}}}{{2{\\text{h}}}}$$ and greater than co-efficient of lateral friction B. Less than $$\\frac{{\\text{b}}}{{2{\\text{h}}}}$$ and also less than co-efficient of lateral friction C. Greater than $$\\frac{{\\text{b}}}{{2{\\text{h}}}}$$ and less than co-efficient of lateral friction D. Greater than $$\\frac{{\\text{b}}}{{2{\\text{h}}}}$$ and also greater than coefficient of lateral friction"},"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_6a99044b306cc\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    Less than $$\frac{{\text{b}}}{{2{\text{h}}}}$$ and greater than co-efficient of lateral friction                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    Less than $$\frac{{\text{b}}}{{2{\text{h}}}}$$ and also less than co-efficient of lateral friction                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"true\">\r\n                    Greater than $$\frac{{\text{b}}}{{2{\text{h}}}}$$ and less than co-efficient of lateral friction                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    Greater than $$\frac{{\text{b}}}{{2{\text{h}}}}$$ and also greater than coefficient of lateral friction                <\/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: C. Greater than $\\frac{{\\text{b}}}{{2{\\text{h}}}}$$ and less than co-efficient of lateral friction.<\/p>\n<p>The centrifugal ratio is a measure of the tendency of a vehicle to overturn when traveling around a curve. It is calculated by dividing the vehicle&#8217;s speed by the square root of the product of its wheel track and the height of its center <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div> of gravity above the road surface.<\/p>\n<p>The centrifugal force acting on a vehicle traveling around a curve is proportional to the square of its speed and inversely proportional to the radius of the curve. The lateral force required to keep the vehicle from overturning is proportional to the height of its center of gravity above the road surface.<\/p>\n<p>If the centrifugal force exceeds the lateral force, the vehicle will overturn. Therefore, the centrifugal ratio must be less than a certain value in order to avoid overturning. This value is given by the following equation:<\/p>\n<p>$$\\frac{{\\text{v}}^2}{{\\text{r}}} &lt; \\frac{{\\text{b}}}{{2{\\text{h}}}}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$v$ is the vehicle&#8217;s speed<\/li>\n<li>$r$ is the radius of the curve<\/li>\n<li>$b$ is the wheel track of the vehicle<\/li>\n<li>$h$ is the height of the vehicle&#8217;s center of gravity above the road surface<\/li>\n<\/ul>\n<p>The coefficient of lateral friction is a measure of the maximum lateral force that <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> can be applied to a vehicle before it skids. It is a property of the road surface and the tires.<\/p>\n<p>If the centrifugal force exceeds the lateral force that can be provided by the tires, the vehicle will skid. Therefore, the centrifugal ratio must be less than a certain value in order to avoid skidding. This value is given by the following equation:<\/p>\n<p>$$\\frac{{\\text{v}}^2}{{\\text{r}}} &lt; \\mu$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$v$ is the vehicle&#8217;s speed<\/li>\n<li>$r$ is the radius of the curve<\/li>\n<li>$\\mu$ is the coefficient of lateral friction<\/li>\n<\/ul>\n<p>The centrifugal ratio must be greater than $\\frac{{\\text{b}}}{{2{\\text{h}}}}$$ in order to avoid overturning, but it must also be less than the coefficient of lateral friction in order to avoid skidding. Therefore, the correct answer is C.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>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":[652],"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>If b is the wheel track of a vehicle and h is the height of centre of gravity above road surface, then to avoid overturning and lateral skidding on a horizontal curve, the centrifugal ratio should always be A. Less than $$\\frac{{\\text{b}}}{{2{\\text{h}}}}$$ and greater than co-efficient of lateral friction B. Less than $$\\frac{{\\text{b}}}{{2{\\text{h}}}}$$ and also less than co-efficient of lateral friction C. Greater than $$\\frac{{\\text{b}}}{{2{\\text{h}}}}$$ and less than co-efficient of lateral friction D. 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Less than $$\\frac{{\\text{b}}}{{2{\\text{h}}}}$$ and also less than co-efficient of lateral friction C. Greater than $$\\frac{{\\text{b}}}{{2{\\text{h}}}}$$ and less than co-efficient of lateral friction D. 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Less than $$\\frac{{\\text{b}}}{{2{\\text{h}}}}$$ and greater than co-efficient of lateral friction B. Less than $$\\frac{{\\text{b}}}{{2{\\text{h}}}}$$ and also less than co-efficient of lateral friction C. Greater than $$\\frac{{\\text{b}}}{{2{\\text{h}}}}$$ and less than co-efficient of lateral friction D. 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