Solveeit Logo
Login

Question

Question: A boy of mass M stands on a platform of radius R capable to rotate freely about its axis. The moment...

A boy of mass M stands on a platform of radius R capable to rotate freely about its axis. The moment of inertia of the platform is I. The system is at rest. The friend of the boy throws a ball of mass m with a velocity v horizontally. The boy on the platform catches it. Find the angular velocity of the system in the process.

A

mvR(M+m)R2\frac{mvR}{(M + m)R^{2}}

B

mvRI+MR2\frac{mvR}{I + MR^{2}}

C

mvRI+mR2\frac{mvR}{I + mR^{2}}

D

mvRI+(M+m)R2\frac{mvR}{I + (M + m)R^{2}}

Answer

mvRI+(M+m)R2\frac{mvR}{I + (M + m)R^{2}}

Explanation

Solution

mvR = [I + (M + m)R2]ω

or ω = mvRI+(M+m)R2\frac{mvR}{I + (M + m)R^{2}}