{"id":9771,"date":"2021-02-17T12:21:31","date_gmt":"2021-02-17T12:21:31","guid":{"rendered":"https:\/\/www.homeworkminutes.com\/infographics\/?p=9771"},"modified":"2023-01-12T00:49:10","modified_gmt":"2023-01-12T08:49:10","slug":"simple-harmonic-motion-everything-you-need-to-know","status":"publish","type":"post","link":"https:\/\/www.homeworkminutes.com\/infographics\/simple-harmonic-motion-everything-you-need-to-know\/","title":{"rendered":"Simple Harmonic Motion &#8211; Everything You Need to Know"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">There are many laws and principles in physics that contribute to an object&#8217;s motion from one spot to another. One such important term in physics is Simple Harmonic Motion. To define, simple harmonic motion or SHM is a motion in which the restoring force is directly proportional to the body&#8217;s displacement from its mean position.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Also, the direction of this restoring force is always towards the mean position.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Acceleration of a particle executing SHM is:-<\/span><\/p>\n<p><b>a(t) = -\u03c92 x(t)<\/b><span style=\"font-weight: 400;\">, where \u03c9 is the angular velocity of the particle.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">In this guide, we&#8217;ll help you learn about Simple Harmonic Motion&#8217;s main aspects and the differences between the three motion types.\u00a0<\/span><\/p>\n<p><strong>Also read:-<\/strong><\/p>\n<p><a href=\"https:\/\/www.homeworkminutes.com\/infographics\/centripetal-vs-centrifugal-force-main-differences\/\"><span style=\"font-weight: 400;\">Centripetal vs. Centrifugal Force: Main Differences\u00a0<\/span><\/a><\/p>\n<h2><span style=\"font-weight: 400;\">Differences Between Periodic Motion, Oscillation Motion, and SHM\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">The basic differences between the three include:<\/span><\/p>\n<h3><b>Periodic Motion\u00a0<\/b><\/h3>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">A motion repeats itself after an equal interval of time\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">There is no equilibrium position, restoring force, and stable equilibrium.\u00a0<\/span><\/li>\n<\/ul>\n<h3><b>Oscillation Motion<\/b><\/h3>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">It is the to and fro motion of a particle about a mean position\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">It is a restoring force directed towards the equilibrium or mean position<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The net force on the particle is zero at the mean position<\/span><\/li>\n<\/ul>\n<h3><b>SHM<\/b><\/h3>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">It is the oscillation along with a straight line between the two extreme points\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The object&#8217;s path is a straight line\u00a0<\/span><\/li>\n<\/ul>\n<h2><span style=\"font-weight: 400;\">Types of Simple Harmonic Motion\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Simple harmonic motion can be classified into two types:-\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Linear SHM\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Angular SHM<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">To help you understand the two SHM types better, here is a brief explanation with examples.\u00a0<\/span><\/p>\n<h3><b>Linear Harmonic Motion<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">This is the type of SHM in which a particle moves to and fro about a fixed point or equilibrium position along with a straight line.\u00a0<\/span><\/p>\n<p><b>Example of LHM<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Spring-mass system\u00a0<\/span><\/p>\n<h4><b>Conditions for Linear SHM<\/b><\/h4>\n<p><span style=\"font-weight: 400;\">In Linear SHM, the restoring force or acceleration acting on the particle is always directly proportional to the particle&#8217;s displacement. Also, the force is directed towards the equilibrium position.\u00a0<\/span><\/p>\n<h3><b>Angular Simple Harmonic Motion<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Angular SHM is the type of motion in which the system oscillates angular long concerning a fixed axis.\u00a0<\/span><\/p>\n<p><b>Example of ASHM<\/b><\/p>\n<p><span style=\"font-weight: 400;\">A disc is allowed to rotate freely about an axis.\u00a0<\/span><\/p>\n<h4><b>Conditions of Angular SHM<\/b><\/h4>\n<p><span style=\"font-weight: 400;\">In Angular SHM, the restoring torque, also known as an angular acceleration, acts on the particle and should always be proportional to the angular displacement. Also, the force is directed towards the equilibrium position.\u00a0<\/span><\/p>\n<p><b>\u03a4\u03b1 \u2013 \u03b8 or \u03b1\u03b8 \u2013 \u03a4<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Where,<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u03a4 \u2013 Torque<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u03b1 angular acceleration<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u03b8 \u2013 angular displacement<\/span><\/li>\n<\/ul>\n<h2><span style=\"font-weight: 400;\">SHM key Terms<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Some of the key terms that define Simple Harmonic Motion are:-<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Mean Position &#8211; The point at which net force acting on the particle is zero<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Amplitude &#8211; It is the maximum displacement of the particle from the mean position.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Time-period &#8211; It is the minimum time after which the particle keeps on repeating its motion.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Frequency &#8211; It is the number of oscillations per second\u00a0<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">If you need more help with such science-related topics, seek instant online assignment help from the top experts. We are available 24*7 to assist you with any topic\/subject. Chat with us now!<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>There are many laws and principles in physics that contribute to an object&#8217;s motion from one spot to another. One such important term in physics&#8230;<\/p>\n","protected":false},"author":1,"featured_media":9772,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_wp_rev_ctl_limit":""},"categories":[41],"tags":[390],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Simple Harmonic Motion - Everything You Need to Know<\/title>\n<meta name=\"description\" content=\"In this guide, you&#039;ll learn about the simple harmonic motion, the key differences between 3 motion types, etc. Read about the main terms in SHM.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.homeworkminutes.com\/infographics\/simple-harmonic-motion-everything-you-need-to-know\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Simple Harmonic Motion - Everything You Need to Know\" \/>\n<meta property=\"og:description\" content=\"In this guide, you&#039;ll learn about the simple harmonic motion, the key differences between 3 motion types, etc. Read about the main terms in SHM.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.homeworkminutes.com\/infographics\/simple-harmonic-motion-everything-you-need-to-know\/\" \/>\n<meta property=\"og:site_name\" content=\"Homework Minutes - Infographics\" \/>\n<meta property=\"article:published_time\" content=\"2021-02-17T12:21:31+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-01-12T08:49:10+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.homeworkminutes.com\/infographics\/wp-content\/uploads\/2021\/02\/Simple-Harmonic-Motion.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"600\" \/>\n\t<meta property=\"og:image:height\" content=\"1800\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"I J\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"I J\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.homeworkminutes.com\/infographics\/simple-harmonic-motion-everything-you-need-to-know\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.homeworkminutes.com\/infographics\/simple-harmonic-motion-everything-you-need-to-know\/\"},\"author\":{\"name\":\"I J\",\"@id\":\"https:\/\/www.homeworkminutes.com\/infographics\/#\/schema\/person\/dc3f0d2158b045d4add6119255aba8d0\"},\"headline\":\"Simple Harmonic Motion &#8211; 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