{"id":5676,"date":"2024-04-15T02:17:08","date_gmt":"2024-04-15T02:17:08","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5676"},"modified":"2024-04-15T02:17:08","modified_gmt":"2024-04-15T02:17:08","slug":"the-vertical-reaction-for-the-arch-is-a-fractextwa2l-b-fractextwltexta-c-fractextwal-d-fractextwtexta22l","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-vertical-reaction-for-the-arch-is-a-fractextwa2l-b-fractextwltexta-c-fractextwal-d-fractextwtexta22l\/","title":{"rendered":"The vertical reaction for the arch is A. $$\\frac{{{\\text{Wa}}}}{{2l}}$$ B. $$\\frac{{{\\text{W}}l}}{{\\text{a}}}$$ C. $$\\frac{{{\\text{Wa}}}}{l}$$ D. $$\\frac{{{\\text{W}}{{\\text{a}}^2}}}{{2l}}$$"},"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_6a99a222cb6b5\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"true\">\r\n                    $$\frac{{{\text{Wa}}}}{{2l}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    $$\frac{{{\text{W}}l}}{{\text{a}}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    $$\frac{{{\text{Wa}}}}{l}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    $$\frac{{{\text{W}}{{\text{a}}^2}}}{{2l}}$$                <\/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 $\\frac{{{\\text{Wa}}}}{{2l}}$.<\/p>\n<p>The vertical reaction for the arch is the force that the supports exert on the arch to prevent it from falling over. It can be calculated by dividing the weight of the arch by the length of the arch.<\/p>\n<p>The weight of the arch is equal to the product of the area of the arch and the density of the material. The area of the arch <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> is equal to the product of the length of the arch and the width of the arch. The density of the material is a constant.<\/p>\n<p>The length of the arch is the distance between the two <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> supports.<\/p>\n<p>Therefore, the vertical reaction for the arch is equal to:<\/p>\n<p>$$\\frac{{{\\text{Wa}}}}{{2l}}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$W$ is the weight of the arch<\/li>\n<li>$a$ is the width of the arch<\/li>\n<li>$l$ is the length of the arch<\/li>\n<\/ul>\n<p>The other options are incorrect because they do not take into account the width of the arch.<\/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":[639],"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>The vertical reaction for the arch is A. $$\\frac{{{\\text{Wa}}}}{{2l}}$$ B. $$\\frac{{{\\text{W}}l}}{{\\text{a}}}$$ C. $$\\frac{{{\\text{Wa}}}}{l}$$ D. $$\\frac{{{\\text{W}}{{\\text{a}}^2}}}{{2l}}$$<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/the-vertical-reaction-for-the-arch-is-a-fractextwa2l-b-fractextwltexta-c-fractextwal-d-fractextwtexta22l\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The vertical reaction for the arch is A. $$\\frac{{{\\text{Wa}}}}{{2l}}$$ B. $$\\frac{{{\\text{W}}l}}{{\\text{a}}}$$ C. $$\\frac{{{\\text{Wa}}}}{l}$$ D. $$\\frac{{{\\text{W}}{{\\text{a}}^2}}}{{2l}}$$\" \/>\n<meta property=\"og:description\" content=\"Join Our Telegram Channel Subscribe on YouTube\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-vertical-reaction-for-the-arch-is-a-fractextwa2l-b-fractextwltexta-c-fractextwal-d-fractextwtexta22l\/\" \/>\n<meta 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$$\\frac{{{\\text{W}}{{\\text{a}}^2}}}{{2l}}$$","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\/the-vertical-reaction-for-the-arch-is-a-fractextwa2l-b-fractextwltexta-c-fractextwal-d-fractextwtexta22l\/","og_locale":"en_US","og_type":"article","og_title":"The vertical reaction for the arch is A. $$\\frac{{{\\text{Wa}}}}{{2l}}$$ B. $$\\frac{{{\\text{W}}l}}{{\\text{a}}}$$ C. $$\\frac{{{\\text{Wa}}}}{l}$$ D. $$\\frac{{{\\text{W}}{{\\text{a}}^2}}}{{2l}}$$","og_description":"Join Our Telegram Channel Subscribe on YouTube","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-vertical-reaction-for-the-arch-is-a-fractextwa2l-b-fractextwltexta-c-fractextwal-d-fractextwtexta22l\/","og_site_name":"MCQ and Quiz for 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