Question

What do mean by the motion of centre of mass?

Answer 1

Here is your answer
The center of mass is a unique point in space where the weighted relative position of the distributed mass sums up to zero. It is the point where a force applied causes the motion in the direction of motion without any rotation.The center of mass is the unique point at the center of a distribution of mass in space that has the property that the weighted position vectors relative to this point sum to zero. In analogy to statistics, the center of mass is the mean location of a distribution of mass in space.
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