A uniform cylinder of radius R, and mass M rotates freely about a stationary horizontal axix O.
Channel: Doubtnut
Date: 30/08/2020

A uniform cylinder of radius R, and mass M rotates freely about a stationary horizontal axix O. A thin cord of length l and mass m is wound on the cylinder in a single layer and its free end is falling vertically. Find the acceleration as a function of the length x of the hanging part of the cord. Assume the center of mass of the wound part of the cord to be the axis of the cylinder.