{"id":669,"date":"2019-06-17T18:05:27","date_gmt":"2019-06-17T18:05:27","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/?post_type=chapter&#038;p=669"},"modified":"2019-07-18T19:37:58","modified_gmt":"2019-07-18T19:37:58","slug":"why-it-matters-center-of-mass-motion","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/louisville-wm-physics\/chapter\/why-it-matters-center-of-mass-motion\/","title":{"raw":"Why It Matters:  Center of Mass Motion","rendered":"Why It Matters:  Center of Mass Motion"},"content":{"raw":"Up to now, every object we have dealt with we have treated as if it were a point particle that has no extent.\u00a0 We have worked problems with cars, boxes, people, even planets, and in each case, we have used a point particle model for the object.\u00a0 We have been able to do this because the size and shape of the objects haven\u2019t mattered for the questions we have been asking.\u00a0 However, clearly there are numerous physical problems were the shape of an object and how its mass is distributed does matter.\u00a0 To consider these questions, we will need a new model that we can use that allows us to think about how the different parts of the object are moving.\r\n\r\nTo build up to our new model that we will use for extended objects, we will start by thinking about a system of point masses.\u00a0 Instead of focusing on the motion of each individual mass, however, we need to come up with a way to combine the motions of the individual particles to talk about the motion of the system as a whole.\u00a0 The best choice for the point to define our system and how it moves is the center of mass of the system.\u00a0 Once we have located where the center of mass is, we can begin to describe the aggregate motion of the system by describing the motion of its center of mass.","rendered":"<p>Up to now, every object we have dealt with we have treated as if it were a point particle that has no extent.\u00a0 We have worked problems with cars, boxes, people, even planets, and in each case, we have used a point particle model for the object.\u00a0 We have been able to do this because the size and shape of the objects haven\u2019t mattered for the questions we have been asking.\u00a0 However, clearly there are numerous physical problems were the shape of an object and how its mass is distributed does matter.\u00a0 To consider these questions, we will need a new model that we can use that allows us to think about how the different parts of the object are moving.<\/p>\n<p>To build up to our new model that we will use for extended objects, we will start by thinking about a system of point masses.\u00a0 Instead of focusing on the motion of each individual mass, however, we need to come up with a way to combine the motions of the individual particles to talk about the motion of the system as a whole.\u00a0 The best choice for the point to define our system and how it moves is the center of mass of the system.\u00a0 Once we have located where the center of mass is, we can begin to describe the aggregate motion of the system by describing the motion of its center of mass.<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-669\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Why It Matters:  Center of Mass Motion. <strong>Authored by<\/strong>: Raymond Chastain. <strong>Provided by<\/strong>: University of Louisville, Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t 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