7.5 Center of MassIn analyzing the collisions of two objects, the mass of each object before the collision is located at different points in spacecollision is located at different points in space.We define an average locationin space for the total mass of the system, whether it be for 2 objects or nobjects:This location in space is called the Center of Massof the system.The Center of Massis 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]Fll t’I hlidhfWhithtfFor 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, m1and m2, where m2=m1. The spheres are separated by some distancexWhere is the centerspheres are separated by some distance . Where is the center of mass?m1m2CMxxCMxThe center of mass is now located exactly between the two spheres.
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