Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder P has most of its mass concentrated near its surface, while Q has most its mass concentrated near the axis. Which statement(s) is (are) correct?

Options

A. Both cylinders P and Q reach the ground at the same time
B. Cylinder P has larger linear acceleration than cylinder Q
C. Both cylinder P and Q reaches the ground with same translational kinetic energy
D. Cylinder Q reaches the ground with larger anular speed

Answer

D

Explanation

`a_(P)=(g sin theta)/(1+(I_(P))/(mR^(2))), a_(Q)=(g sin theta)/(1+(I_(Q))/(mR^(2)))`
Since `I_(P)gtI_(Q)` . Because in case of P the mass is concentrated away from the axis
`a_(P)lta_(Q)`
Q will reach the ground earlier with larger angular speed and larger translational K.E .