{"id":5308,"date":"2022-09-29T10:14:00","date_gmt":"2022-09-29T04:44:00","guid":{"rendered":"https:\/\/physicscatalyst.com\/article\/?p=5308"},"modified":"2022-11-04T12:06:27","modified_gmt":"2022-11-04T06:36:27","slug":"translational-motion","status":"publish","type":"post","link":"https:\/\/physicscatalyst.com\/article\/translational-motion\/","title":{"rendered":"What is translational motion?"},"content":{"rendered":"\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<h2 class=\"has-text-align-center wp-block-heading\"><strong><span style=\"color: #ff0000;\">Translational Motion<\/span><\/strong><\/h2>\n\n\n\n<h5 class=\"has-text-align-center wp-block-heading\"><span style=\"color: #0000ff;\">Definition, Types of translational motion and examples<\/span><\/h5>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p>Motion in physics is defined as a change in position of an object with the passage of time.<\/p><\/blockquote>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"Translational-motion-definition\">Translational motion definition<\/h3>\n\n\n\n<p>Translational motion is the motion in which all points of a moving body move uniformly in the same line or direction. If an object is executing translational motion then there is no change in its orientation relative to a fixed point. For example, a train moving on its track, a man walking on the road, birds flying in the sky, etc.<\/p>\n\n\n\n<p>In this article, we are covering Translational motion with examples. If you want to learn about the basics of motion you can visit our article\u00a0<strong><a href=\"https:\/\/physicscatalyst.com\/Class9\/motion.php\">What is motion<\/a><\/strong>\u00a0in physics to get a general overview of motion in physics.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"What-is-translational-motion\">What is translational motion?<\/h3>\n\n\n\n<p>When a body is shifted or moved from one point to another point, then the body said to be experienced translational motion. It is the motion in which all points of a moving body move uniformly in the same line or direction. If an object is executing translational motion then there is no change in its orientation relative to a fixed point<\/p>\n\n\n\n<p>So,<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p>If the object moves such that all the particles in the object move parallel to each other then the motion is called <strong>pure translational motion<\/strong>.<\/p><\/blockquote>\n\n\n\n<p>In this type of motion, all points of the body have velocities and accelerations that are the same in magnitude and direction at every instant of time. All points describe identical trajectories. By this, we mean that trajectories would coincide when they are placed one above the other. Basically, the orientation of the body remains fixed relative to a fixed axis.<\/p>\n\n\n\n<p>Also from the definition of translatory motion for an object to execute Translational motion, there is no change in its orientation relative to a fixed point and all points of a moving body move uniformly in the same line or direction. This is not the case when <a href=\"https:\/\/physicscatalyst.com\/mech\/rotational-motion.php\" rel=\"noreferrer noopener\" aria-label=\"rotational motion (opens in a new tab)\">rotational motion<\/a> is involved. In the case of rotational motion,<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>the object turns about an axis and a change of orientation takes place. One example of rotational motion is the rotation of the earth along its own axis.<\/li><li>Also in the case of rotational motion object travels an increase in angle with the change or increase in time. For a rotating body, if the increment in angle is small, we can consider the curve to be an arc on a circle at any point in time. The arc length depends on the increment in angle and the radius of rotation, which is the distance between the object&#8217;s centre of mass and the axis of rotation. So, points at different distances from the axis of rotation have different arc lengths for the same angle of rotation.<\/li><li>In rotational motion, we describe motion in terms of angular velocity, angular acceleration, etc.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"Type-of-translational-motion\"><strong>Types of translational motion<\/strong><\/h3>\n\n\n\n<p>Translational motion can be of two types.<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li><a href=\"https:\/\/physicscatalyst.com\/article\/rectilinear-motion\/\">Rectilinear motion<\/a><\/li><li>Curvilinear motion<\/li><\/ol>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><a href=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/types-of-translational-motion.png\"><img loading=\"lazy\" decoding=\"async\" width=\"940\" height=\"646\" src=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/types-of-translational-motion.png\" alt=\"Types of translational motion\" class=\"wp-image-5353\" srcset=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/types-of-translational-motion.png 940w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/types-of-translational-motion-300x206.png 300w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/types-of-translational-motion-768x528.png 768w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/types-of-translational-motion-800x550.png 800w\" sizes=\"auto, (max-width: 940px) 100vw, 940px\" \/><\/a><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"Rectilinear-motion\">1. Rectilinear motion<\/h4>\n\n\n\n<p>The body is moving in a straight line. Example. A ball falling from the cliff, A bullet fired from the gun It could be both uniform and non-uniform motion.<\/p>\n\n\n\n<p>In the figure shown below, a cart is moving from point \\(A\\) to point \\(B\\). It is moving along a straight line (along the x-axis) with some velocity \\(\\vec v\\). Now, this case<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>motion is <strong>Rectilinear motion<\/strong> because the cart is moving in a straight line and<\/li><li>the motion is translatory motion or translational motion because all the particles (or parts) in the cart move parallel to each other. Furthermore, there is no change in the orientation of the cart.<a href=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/rectilinear-motion.png\"><br><\/a><figure><a href=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/rectilinear-motion.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-5330\" src=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/rectilinear-motion.png\" alt=\"Transnational motion (type rectilinear)\" width=\"748\" height=\"348\" srcset=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/rectilinear-motion.png 1550w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/rectilinear-motion-300x139.png 300w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/rectilinear-motion-768x357.png 768w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/rectilinear-motion-1024x476.png 1024w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/rectilinear-motion-800x372.png 800w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/rectilinear-motion-1200x557.png 1200w\" sizes=\"auto, (max-width: 748px) 100vw, 748px\" \/><\/a><\/figure><\/li><\/ul>\n\n\n\n<p class=\"highlight\">Please note that we are considering the net linear motion of cart from point \\(A\\) to point \\(B\\). We are not considering the motion its wheels are making in order to reach from point \\(A\\) to point \\(B\\). Wheels of cart exhibit rolling motion which includes both translational and rotational motion.<\/p>\n\n\n\n<div>\n<h5>What is the difference between linear and translational motion?<\/h5>\n<p>Answer:- Linear motion (or rectilinear motion) means moving in a straight line. Translatory motion or translational motion occurs when all points in a body move the same distance in the same amount of time. The translatory motion does not always require that the object move in a straight line. We can use the term translational motion when the object is moving in 2- or 3-dimensional bodies. As stated earlier linear motion is a type of translational motion and is strictly a one-dimensional motion along a straight line.<\/p>\n<\/div>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"Curvilinear-motion\">2. Curvilinear motion<\/h4>\n\n\n\n<p>This is the motion when the body in a curved path. It is also motion in two-three dimensions. So pure translational motion does not always have to be in a straight line. This scenario is viable if an object moves in a curved path without changing its orientation.<br>Example. Projectile motion<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><a href=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/curvilinear-motion.png\"><img loading=\"lazy\" decoding=\"async\" width=\"1605\" height=\"790\" src=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/curvilinear-motion.png\" alt=\"Transnatiory motion (type curvilinear)\" class=\"wp-image-5332\" srcset=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/curvilinear-motion.png 1605w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/curvilinear-motion-300x148.png 300w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/curvilinear-motion-768x378.png 768w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/curvilinear-motion-1024x504.png 1024w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/curvilinear-motion-800x394.png 800w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/curvilinear-motion-1200x591.png 1200w\" sizes=\"auto, (max-width: 1605px) 100vw, 1605px\" \/><\/a><figcaption>Ball moving in a parabolic path.<\/figcaption><\/figure>\n\n\n\n<p>Here from the figure, you can see that the ball in question is launched from point \\(O\\) and it reaches point \\(C\\) traveling through points \\(A\\)&nbsp; and\\(B\\).&nbsp; This type of motion is called projectile motion. Projectile motion is curvilinear in nature.&nbsp; Here ball is moving in a curved path instead of a straight line in order to move from point&nbsp; \\(O\\) to point \\(C\\).<\/p>\n\n\n\n<p class=\"highlight\">Please note that if this ball starts to spin as in the case of a cricket ball then motion here would no longer be translational because now the ball is executing a complex kind of motion where it is moving from one point to another (translation) along with a spin along its own axis (rotation)<\/p>\n\n\n\n<p>Now if the motion of the body is such that particles do not move parallel to each other, then it is said to <strong>general motion<\/strong> the motion we generally encounter in our day-to-day life. This motion can be thought of as translational motion of the center of the body and rotational motion of the body around the center of mass. <\/p>\n\n\n\n<p>For example in the example given below, we mark an observation point (red dot in this case) at position \\(O\\). Now if we try to rotate this wheel on the floor by \\(45^0\\) then the wheel covers a linear distance equal to the length of arc \\(OA\\) and it also has rotated along its axis by \\(45^0\\). <\/p>\n\n\n\n<p>Such kind of example can be seen when a cyclist moves forward in his bicycle where the wheels of the bicycle have both translational and rotational motion. Here particles are not moving parallel to each other they are moving forward along with the change in their axis.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><a href=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/general-motion.png\"><img loading=\"lazy\" decoding=\"async\" width=\"1750\" height=\"768\" src=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/general-motion.png\" alt=\"translational motion \" class=\"wp-image-5335\" srcset=\"https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/general-motion.png 1750w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/general-motion-300x132.png 300w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/general-motion-768x337.png 768w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/general-motion-1024x449.png 1024w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/general-motion-800x351.png 800w, https:\/\/physicscatalyst.com\/article\/wp-content\/uploads\/2019\/07\/general-motion-1200x527.png 1200w\" sizes=\"auto, (max-width: 1750px) 100vw, 1750px\" \/><\/a><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Translatory motion examples<\/h3>\n\n\n\n<p>Few examples of translational motion or translatory motion are<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Man walking<\/li><li>Car or bus moving.<\/li><li>Boat sailing in the sea.<\/li><li>Cat walking.<\/li><li>A stone falling straight towards the surface of the earth<\/li><li>A coin moving over a carom board<\/li><\/ol>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<h3 class=\"has-text-align-center has-text-color wp-block-heading\" style=\"color:#4e2e29\">Quiz on translational motion<\/h3>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n<script type=\"text\/javascript\" >\ndocument.addEventListener(\"DOMContentLoaded\", function(event) { \nif(!window.jQuery) alert(\"The important jQuery library is not properly loaded in your site. Your WordPress theme is probably missing the essential wp_head() call. You can switch to another theme and you will see that the plugin works fine and this notice disappears. If you are still not sure what to do you can contact us for help.\");\n});\n<\/script>  \n  \n<div  id=\"watupro_quiz\" class=\"quiz-area \">\n<p id=\"submittingExam2\" style=\"display:none;text-align:center;\">Please wait...<br><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/physicscatalyst.com\/article\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\"><\/p>\n\n\n\n<form action=\"\" method=\"post\" class=\"quiz-form\" id=\"quiz-2\"  enctype=\"multipart\/form-data\" >\n<div class='watupro-paginator-wrap watupro-question-paginator-wrap ' style='display:none;'><ul class='watupro-paginator watupro-question-paginator watupro-paginator-custom'><li class=\"rewind-down\" onclick=\"WatuPRO.movePaginator('down', 3);\">&lt;&lt;<\/li><li class='active  decade-1' id='WatuPROPagination1' onclick='WatuPRO.goto(event, 1, true);'>1<\/li><li class='  decade-1' id='WatuPROPagination2' onclick='WatuPRO.goto(event, 2, true);'>2<\/li><li class='  decade-1' id='WatuPROPagination3' onclick='WatuPRO.goto(event, 3, true);'>3<\/li><li style=\"display:none;\" class=\"rewind-up\" onclick=\"WatuPRO.movePaginator('up', 3);\">&gt;&gt;<\/li><\/ul><\/div><div class='watu-question ' id='question-1' style='display:block;;'><div id='questionWrap-1'  class='   watupro-question-id-14'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>1. <\/span>Which one of the following is not an example of translational motion<\/div><input type='hidden' name='question_id[]' id='qID_1' value='14' class='watupro-question-id'\/><input type='hidden' id='answerType14' class='answerTypeCnt1' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices14'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-14[]' id='answer-id-56' class='answer   answerof-14  ' value='56'   \/><label for='answer-id-56' id='answer-label-56' class=' answer'><span> car moving along a straight line<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-14[]' id='answer-id-55' class='answer   answerof-14  ' value='55'   \/><label for='answer-id-55' id='answer-label-55' class=' answer'><span>moon revolving around the earth in an orbit<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-14[]' id='answer-id-53' class='answer   answerof-14  ' value='53'   \/><label for='answer-id-53' id='answer-label-53' class=' answer'><span>a projectile launched at an angle \\(\\theta\\) from the horizontal<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-14[]' id='answer-id-54' class='answer   answerof-14  ' value='54'   \/><label for='answer-id-54' id='answer-label-54' class=' answer'><span>the motion of Ferris wheel along an axis of rotation<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><p class='watupro-qnum-info '>Question 1 of 3<\/p><\/div><div class='watu-question ' id='question-2' style=';'><div id='questionWrap-2'  class='   watupro-question-id-13'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>2. <\/span>When a body is in translational motion it <\/div><input type='hidden' name='question_id[]' id='qID_2' value='13' class='watupro-question-id'\/><input type='hidden' id='answerType13' class='answerTypeCnt2' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices13'><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-13[]' id='answer-id-52' class='answer   answerof-13  ' value='52'   \/><label for='answer-id-52' id='answer-label-52' class=' answer'><span>moves along any arbitrary path<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-13[]' id='answer-id-50' class='answer   answerof-13  ' value='50'   \/><label for='answer-id-50' id='answer-label-50' class=' answer'><span>always moves along a straight path<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-13[]' id='answer-id-49' class='answer   answerof-13  ' value='49'   \/><label for='answer-id-49' id='answer-label-49' class=' answer'><span>always moves along a straight line<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-13[]' id='answer-id-51' class='answer   answerof-13  ' value='51'   \/><label for='answer-id-51' id='answer-label-51' class=' answer'><span>always moves along parabolic path<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><p class='watupro-qnum-info '>Question 2 of 3<\/p><\/div><div class='watu-question ' id='question-3' style=';'><div id='questionWrap-3'  class='   watupro-question-id-15'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>3. <\/span>Which one of the following statements is\/are correct in context to translatory motion<\/div><input type='hidden' name='question_id[]' id='qID_3' value='15' class='watupro-question-id'\/><input type='hidden' id='answerType15' class='answerTypeCnt3' value='checkbox'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '  id='questionChoices15'><div class='watupro-question-choice  ' dir='auto' ><input type='checkbox' name='answer-15[]' id='answer-id-58' class='answer   answerof-15  ' value='58'   \/><label for='answer-id-58' id='answer-label-58' class=' answer'><span>only rigid bodies may have translational motion<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='checkbox' name='answer-15[]' id='answer-id-60' class='answer   answerof-15  ' value='60'   \/><label for='answer-id-60' id='answer-label-60' class=' answer'><span>Earth moving around Sun is an example of translational motion<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='checkbox' name='answer-15[]' id='answer-id-59' class='answer   answerof-15  ' value='59'   \/><label for='answer-id-59' id='answer-label-59' class=' answer'><span>Any finite body of any shape and size may have translational motion<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='checkbox' name='answer-15[]' id='answer-id-57' class='answer   answerof-15  ' value='57'   \/><label for='answer-id-57' id='answer-label-57' class=' answer'><span>Only a particle can have translational motion<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><p class='watupro-qnum-info '>Question 3 of 3<\/p><\/div><div style='display:none' id='question-4'>\n\t<div class='question-content'>\n\t\t<img loading=\"lazy\" decoding=\"async\" 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Translational motion definition Translational motion is the motion in which all points of a moving body move uniformly in the same line or direction. If an object is [&hellip;]<\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","site-sidebar-layout":"default","site-content-layout":"default","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[14],"tags":[],"class_list":["post-5308","post","type-post","status-publish","format-standard","hentry","category-physics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>What is translational motion? 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