Question

Why center of mass is equall to center of gravity

Answer 1

since weight is acceleration due to gravity and the gravitational field due to most objects which exert significant gravitational force like the earth may be taken constant, this acceleration factor cancels out and the center of gravity and center of mass becomes equal.

Answer 2

Answer:

The center of mass is the mean position of the mass in an object. Then there's the center of gravity, which is the point where gravity appears to act. For many objects, these two points are in exactly the same place. But they're only the same when the gravitational field is uniform across an object.