what is the difference between motion of centre of mass and motion about centre of mass
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the center of mass of a distribution of mass in space is the unique point where the weighted relative position of the distributed mass sums to zero, or the point where if a force is applied it moves in the direction of the force without rotating.
If a system experiences no external force, the center-of-mass of the system will remain at rest, or will move at constant velocity if it is already moving.
If a system experiences no external force, the center-of-mass of the system will remain at rest, or will move at constant velocity if it is already moving.
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