{"id":6894,"date":"2024-04-15T02:35:45","date_gmt":"2024-04-15T02:35:45","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6894"},"modified":"2024-04-15T02:35:45","modified_gmt":"2024-04-15T02:35:45","slug":"a-particle-moving-with-a-simple-harmonic-motion-attains-its-maximum-velocity-when-it-passes-a-the-extreme-point-of-the-oscillation-b-through-the-mean-position-c-through-a-point-at-half-amplitude-d","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-particle-moving-with-a-simple-harmonic-motion-attains-its-maximum-velocity-when-it-passes-a-the-extreme-point-of-the-oscillation-b-through-the-mean-position-c-through-a-point-at-half-amplitude-d\/","title":{"rendered":"A particle moving with a simple harmonic motion, attains its maximum velocity when it passes A. The extreme point of the oscillation B. Through the mean position C. Through a point at half amplitude D. None of these"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;The extreme point of the oscillation&#8221; option2=&#8221;Through the mean position&#8221; option3=&#8221;Through a point at half amplitude&#8221; option4=&#8221;None of these&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is: A. The extreme point of the oscillation.<\/p>\n<p>A particle moving with a simple harmonic motion attains its maximum velocity when it passes through the extreme point of the oscillation. This is because the velocity of the particle is given by the equation $v = -\\omega A \\sin \\omega t$, where $\\omega$ is the angular frequency of the oscillation, $A$ is the amplitude of the oscillation, and $t$ is the time. The maximum value of the sine function is 1, so the maximum velocity of the particle occurs when $\\sin \\omega t = 1$. This happens when $t = \\frac{\\pi}{2} + 2 \\pi n$, where $n$ is an integer. Therefore, the maximum velocity of the particle occurs when it passes through the extreme point of the oscillation.<\/p>\n<p>The other options are incorrect because:<\/p>\n<ul>\n<li>Option B is incorrect because the particle has zero velocity when it passes through the mean position.<\/li>\n<li>Option C is incorrect because the particle has a velocity of zero when it passes through a point at half amplitude.<\/li>\n<li>Option D is incorrect because the particle does attain its maximum velocity at some point during the oscillation.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;The extreme point of the oscillation&#8221; option2=&#8221;Through the mean position&#8221; option3=&#8221;Through a point at half amplitude&#8221; option4=&#8221;None of these&#8221; correct=&#8221;option1&#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-6894","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>A particle moving with a simple harmonic motion, attains its maximum velocity when it passes A. The extreme point of the oscillation B. Through the mean position C. Through a point at half amplitude D. None of these<\/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\/a-particle-moving-with-a-simple-harmonic-motion-attains-its-maximum-velocity-when-it-passes-a-the-extreme-point-of-the-oscillation-b-through-the-mean-position-c-through-a-point-at-half-amplitude-d\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A particle moving with a simple harmonic motion, attains its maximum velocity when it passes A. The extreme point of the oscillation B. Through the mean position C. Through a point at half amplitude D. None of these\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;The extreme point of the oscillation&#8221; option2=&#8221;Through the mean position&#8221; option3=&#8221;Through a point at half amplitude&#8221; option4=&#8221;None of these&#8221; correct=&#8221;option1&#8243;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-particle-moving-with-a-simple-harmonic-motion-attains-its-maximum-velocity-when-it-passes-a-the-extreme-point-of-the-oscillation-b-through-the-mean-position-c-through-a-point-at-half-amplitude-d\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:35:45+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":"A particle moving with a simple harmonic motion, attains its maximum velocity when it passes A. The extreme point of the oscillation B. Through the mean position C. Through a point at half amplitude D. None of these","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\/a-particle-moving-with-a-simple-harmonic-motion-attains-its-maximum-velocity-when-it-passes-a-the-extreme-point-of-the-oscillation-b-through-the-mean-position-c-through-a-point-at-half-amplitude-d\/","og_locale":"en_US","og_type":"article","og_title":"A particle moving with a simple harmonic motion, attains its maximum velocity when it passes A. The extreme point of the oscillation B. Through the mean position C. Through a point at half amplitude D. None of these","og_description":"[amp_mcq option1=&#8221;The extreme point of the oscillation&#8221; option2=&#8221;Through the mean position&#8221; option3=&#8221;Through a point at half amplitude&#8221; option4=&#8221;None of these&#8221; correct=&#8221;option1&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-particle-moving-with-a-simple-harmonic-motion-attains-its-maximum-velocity-when-it-passes-a-the-extreme-point-of-the-oscillation-b-through-the-mean-position-c-through-a-point-at-half-amplitude-d\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:35:45+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\/a-particle-moving-with-a-simple-harmonic-motion-attains-its-maximum-velocity-when-it-passes-a-the-extreme-point-of-the-oscillation-b-through-the-mean-position-c-through-a-point-at-half-amplitude-d\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-particle-moving-with-a-simple-harmonic-motion-attains-its-maximum-velocity-when-it-passes-a-the-extreme-point-of-the-oscillation-b-through-the-mean-position-c-through-a-point-at-half-amplitude-d\/","name":"A particle moving with a simple harmonic motion, attains its maximum velocity when it passes A. 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