A circular hole of radius 1m. is cut off from a disc of radius 6m.The center of the hole is 3m. from the center of the disc.Find the center of mass of remaining disc.

Dear student,

The disc with hole can be assumed to be a whole disc of radius 6m with its given mass, say M+ a disc of radius 1m whose center is at distance 3m from that of bigger disc and has mass ‘-m’

Since the mass distribution on both of them must be uniform,



The distance of center of mass of the system from the center of the larger disc will be