{"id":6697,"date":"2024-04-15T02:32:47","date_gmt":"2024-04-15T02:32:47","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6697"},"modified":"2024-04-15T02:32:47","modified_gmt":"2024-04-15T02:32:47","slug":"from-the-circular-plate-of-a-diameter-6-cm-is-cut-out-a-circular-plate-whose-diameter-is-equal-to-radius-of-the-plate-the-c-g-of-the-remainder-shifts-from-the-original-position-through-a-0-25-cm-b","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/from-the-circular-plate-of-a-diameter-6-cm-is-cut-out-a-circular-plate-whose-diameter-is-equal-to-radius-of-the-plate-the-c-g-of-the-remainder-shifts-from-the-original-position-through-a-0-25-cm-b\/","title":{"rendered":"From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through A. 0.25 cm B. 0.50 cm C. 0.75 cm D. 1.00 cm"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;0.25 cm&#8221; option2=&#8221;0.50 cm&#8221; option3=&#8221;0.75 cm&#8221; option4=&#8221;1.00 cm&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B) 0.50 cm}}$.<\/p>\n<p>The center of mass (CM) of a circular plate is located at its geometric center. When a circular plate with a diameter of 6 cm is cut out of a circular plate with a diameter of 6 cm, the CM of the remainder shifts towards the center of the cut-out circle. The radius of the cut-out circle is 3 cm, so the diameter of the cut-out circle is 6 cm. The distance between the CM of the original circle and the CM of the cut-out circle is 3 cm. Therefore, the CM of the remainder shifts 0.5 cm towards the center of the cut-out circle.<\/p>\n<p>Option A is incorrect because the CM of the remainder shifts 0.5 cm, not 0.25 cm.<\/p>\n<p>Option C is incorrect because the CM of the remainder shifts 0.5 cm, not 0.75 cm.<\/p>\n<p>Option D is incorrect because the CM of the remainder shifts 0.5 cm, not 1 cm.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;0.25 cm&#8221; option2=&#8221;0.50 cm&#8221; option3=&#8221;0.75 cm&#8221; option4=&#8221;1.00 cm&#8221; correct=&#8221;option3&#8243;]<\/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":[],"class_list":["post-6697","post","type-post","status-publish","format-standard","hentry","category-applied-mechanics-and-graphic-statics","no-featured-image-padding"],"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>From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through A. 0.25 cm B. 0.50 cm C. 0.75 cm D. 1.00 cm<\/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\/from-the-circular-plate-of-a-diameter-6-cm-is-cut-out-a-circular-plate-whose-diameter-is-equal-to-radius-of-the-plate-the-c-g-of-the-remainder-shifts-from-the-original-position-through-a-0-25-cm-b\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through A. 0.25 cm B. 0.50 cm C. 0.75 cm D. 1.00 cm\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;0.25 cm&#8221; option2=&#8221;0.50 cm&#8221; option3=&#8221;0.75 cm&#8221; option4=&#8221;1.00 cm&#8221; correct=&#8221;option3&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/from-the-circular-plate-of-a-diameter-6-cm-is-cut-out-a-circular-plate-whose-diameter-is-equal-to-radius-of-the-plate-the-c-g-of-the-remainder-shifts-from-the-original-position-through-a-0-25-cm-b\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:32:47+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through A. 0.25 cm B. 0.50 cm C. 0.75 cm D. 1.00 cm","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\/from-the-circular-plate-of-a-diameter-6-cm-is-cut-out-a-circular-plate-whose-diameter-is-equal-to-radius-of-the-plate-the-c-g-of-the-remainder-shifts-from-the-original-position-through-a-0-25-cm-b\/","og_locale":"en_US","og_type":"article","og_title":"From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through A. 0.25 cm B. 0.50 cm C. 0.75 cm D. 1.00 cm","og_description":"[amp_mcq option1=&#8221;0.25 cm&#8221; option2=&#8221;0.50 cm&#8221; option3=&#8221;0.75 cm&#8221; option4=&#8221;1.00 cm&#8221; correct=&#8221;option3&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/from-the-circular-plate-of-a-diameter-6-cm-is-cut-out-a-circular-plate-whose-diameter-is-equal-to-radius-of-the-plate-the-c-g-of-the-remainder-shifts-from-the-original-position-through-a-0-25-cm-b\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:32:47+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/from-the-circular-plate-of-a-diameter-6-cm-is-cut-out-a-circular-plate-whose-diameter-is-equal-to-radius-of-the-plate-the-c-g-of-the-remainder-shifts-from-the-original-position-through-a-0-25-cm-b\/","url":"https:\/\/exam.pscnotes.com\/mcq\/from-the-circular-plate-of-a-diameter-6-cm-is-cut-out-a-circular-plate-whose-diameter-is-equal-to-radius-of-the-plate-the-c-g-of-the-remainder-shifts-from-the-original-position-through-a-0-25-cm-b\/","name":"From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. 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