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If an object is rigid and not rotating (or threatening to rotate), you may choose an arbitrary location on that object and follow its movement as if it were a point particle. For instance, if you are analyzing a truck moving down the road, you could choose the location of the front axle to specify the truck's position. If you have a non-rigid object or an object that is going to rotate, you still have the freedom to treat the object as a point particle in the 3-D Motion and Momentum and External Force models (and their sub-models) provided you choose to specify the location of the object by the location of its center of mass. All the problems in kinematics and linear dynamics allow for the specification of the position of macroscopic objects by their center of mass position, and therefore the treatment of these objects as point particles.
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