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Question -

.Give the location of the center of mass of a (i) sphere, (ii) cylinder, (iii) ring, and (iv) cube, each of uniform mass density. Does not the center of mass of a body necessarily lie inside the body ?



Answer -

A sphere. Center of the sphere
A ring. Center of the ring
A cylinder. Middle point on the axis of the cylinder
A cone. At a point distant 1/4th of height of the cone from the base on the axis of the cone.
A cube. Point of intersection of diagonals.
No, center of mass of a ring and bangle lies inside the hollow portions of the ring and bangle.

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