Question

A child with mass m is standing at the edge of a disc with moment of inertial I, radius R, and initial angular velocityω. See figure given below.The child jumps off the edge of the disc with tangential velocity v with respect to the ground. Then new angular velocity of the disc is

Answer 1

Correct option: (D)

Explanation:

Applying conservation principle of angular momentum,

(I + mR ² )ω= Iω´ + mv₁ R ...(1)

But v₁ – R´ω = v (By relative concept) ...(2)

From equation (1) and (2)