{"id":5852,"date":"2024-04-15T02:19:50","date_gmt":"2024-04-15T02:19:50","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5852"},"modified":"2024-04-15T02:19:50","modified_gmt":"2024-04-15T02:19:50","slug":"if-t-and-r-are-the-tread-and-rise-of-a-stair-which-carries-a-load-w-per-square-metre-on-slope-the-corresponding-load-per-square-metre-of-the-horizontal-area-is-a-fractextwleft-te","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-t-and-r-are-the-tread-and-rise-of-a-stair-which-carries-a-load-w-per-square-metre-on-slope-the-corresponding-load-per-square-metre-of-the-horizontal-area-is-a-fractextwleft-te\/","title":{"rendered":"If T and R are the tread and rise of a stair which carries a load w per square metre on slope, the corresponding load per square metre of the horizontal area, is A. $$\\frac{{{\\text{w}}\\left( {{\\text{R}} + {\\text{T}}} \\right)}}{{\\text{T}}}$$ B. $$\\frac{{{\\text{w}}\\sqrt {{{\\text{R}}^2} + {{\\text{T}}^2}} }}{{\\text{T}}}$$ C. $$\\frac{{{\\text{w}}\\sqrt {{\\text{R}} + {\\text{T}}} }}{{\\text{T}}}$$ D. $${\\text{w}}\\frac{{\\text{R}}}{{\\text{T}}}$$"},"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_6a99f74966541\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    $$\frac{{{\text{w}}left( {{\text{R}} + {\text{T}}} \right)}}{{\text{T}}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    $$\frac{{{\text{w}}sqrt {{{\text{R}}^2} + {{\text{T}}^2}} }}{{\text{T}}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"true\">\r\n                    $$\frac{{{\text{w}}sqrt {{\text{R}} + {\text{T}}} }}{{\text{T}}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    $${\text{w}}\frac{{\text{R}}}{{\text{T}}}$$                <\/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 $\\boxed{\\frac{{{\\text{w}}\\sqrt {{{\\text{R}}^2} + {{\\text{T}}^2}} }}{{\\text{T}}}}$.<\/p>\n<p>The load per square metre of the horizontal area is the load per <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 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The cosine of the angle of the slope is equal to the ratio of the horizontal distance to the vertical distance. In this case, the horizontal distance is the tread, $T$, and the vertical distance is the rise, $R$. Therefore, the cosine of the angle of the slope is $\\frac{T}{R}$.<\/p>\n<p>The load per square metre on the slope is $w$. Therefore, the load per square metre of the horizontal area is<\/p>\n<p>$$\\frac{{{\\text{w}}\\sqrt {{{\\text{R}}^2} + {{\\text{T}}^2}} }}{{\\text{T}}}$$<\/p>\n<p>Option A is incorrect because it does not divide by the cosine of the angle of the slope. Option B is incorrect because it does not take into account the fact that the load is not evenly distributed over the horizontal area. Option C is incorrect because it does not take into account the fact that the load is not evenly distributed over the horizontal area. Option D is incorrect because it does not divide by the cosine of the angle of the slope.<\/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":[640],"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 T and R are the tread and rise of a stair which carries a load w per square metre on slope, the corresponding load per square metre of the horizontal area, is A. $$\\frac{{{\\text{w}}\\left( {{\\text{R}} + {\\text{T}}} \\right)}}{{\\text{T}}}$$ B. $$\\frac{{{\\text{w}}\\sqrt {{{\\text{R}}^2} + {{\\text{T}}^2}} }}{{\\text{T}}}$$ C. $$\\frac{{{\\text{w}}\\sqrt {{\\text{R}} + {\\text{T}}} }}{{\\text{T}}}$$ D. 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are the tread and rise of a stair which carries a load w per square metre on slope, the corresponding load per square metre of the horizontal area, is A. $$\\frac{{{\\text{w}}\\left( {{\\text{R}} + {\\text{T}}} \\right)}}{{\\text{T}}}$$ B. $$\\frac{{{\\text{w}}\\sqrt {{{\\text{R}}^2} + {{\\text{T}}^2}} }}{{\\text{T}}}$$ C. $$\\frac{{{\\text{w}}\\sqrt {{\\text{R}} + {\\text{T}}} }}{{\\text{T}}}$$ D. $${\\text{w}}\\frac{{\\text{R}}}{{\\text{T}}}$$","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/if-t-and-r-are-the-tread-and-rise-of-a-stair-which-carries-a-load-w-per-square-metre-on-slope-the-corresponding-load-per-square-metre-of-the-horizontal-area-is-a-fractextwleft-te\/","og_locale":"en_US","og_type":"article","og_title":"If T and R are the tread and rise of a stair which carries a load w per square metre on slope, the 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