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lecture17 - 7.5 Center of Mass In analyzing the collisions...

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7.5 Center of Mass In analyzing the collisions of two objects, the mass of each object before the collision is located at different points in space collision is located at different points in space. We define an average location in space for the total mass of the system, whether it be for 2 objects or n objects: This location in space is called the Center of Mass of the system. The Center of Mass is a position relative to some fixed coordinate system, which may or may not be moving with the object(s) may or may not be moving with the object(s). Units? [displacement] = [ m ] F l l t’ I h lid h f Wh i th t f For example, let’s say I have a solid sphere of mass m . Where is the center of mass of the sphere? Clearly, it’s at the center of the sphere. Now let’s say I have two spheres, m 1 and m 2 , where m 2 = m 1 . The spheres are separated by some distance x Where is the center spheres are separated by some distance . Where is the center of mass? m 1 m 2 CM x x CM x The center of mass is now located exactly between the two spheres.
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