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I know well this much.

But my confusion begins

Suppose a ring of mass M and radius R.We know M.I of it is MR square.

But if 90degree sector of it breaks,such that it's mass becomes 3/4M. My Physics teacher says the broken ring's M.I then will be 3/4MR square.

My question is,as in the case of rigid rod,when it breaks, we just need another formula to find its MI. Similarly for this too,we have to use another formula right?

I have the same problem with circular disk too.