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 of 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 cylinders reach the ground with same translational kinetic energy
D. Cylinder Q reaches the ground with larger angular speed

Answer

D

Explanation

`I_(P) gt I_(Q), a_(p) = (g sin theta)/(1+ I_(P)/(mR^(2))) , a_(Q) = (g sin theta)/(1 + I_(Q)/(mR^(2))), a_(p) lt a_(Q) rArr s=ut + 1/2 at^(2) rArr t propto 1/a, t_(P) gt t_(Q)`
`V^(2) = u^(2) + 2as rArr v propto a rArr V_(0) lt V_(Q)`
Translational KE, `1/2 mV^(2) rArr TR KE_(p) TR KE_(Q) , V = omega R rArr omega propto V rArr omega_(p) lt omega_(Q)`.