Question

Mass is non-uniformly distributed on the circumference of a ring of radius $\alpha$ and center at origin. let $b$ the disatnce of center of mass of the ring from origin

• A. $b<\alpha$
• B. $0\le b\le \alpha$
• C. $b>\alpha$
• D. $b=\alpha$

Answer 1

The correct option is B $0\le b\le \alpha$

If mass distribution would have been uniform then centre of mass would havse been at center but as distribution is non uniform it cand be off center as well.
If mass is non-uniformity distributeed, then center of mass of rings to circumferance.
center of mass cannot be outside the ring
Hence, $0\le b\le \alpha$