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. Cylinders 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

`a=(Mg sin theta)/(M+1/R^2)`
`a_p=(Mg sin theta)/(M+(MR^2)/R^2)~~g/2 sin theta`
`a_Q=g sin thetaas I_Q~0`
`mgh=1/2Iomega^2+1/2mupsilon^2`
`upsilon=Romega`
`:. omega_p=sqrt(2.g/2.l)/R`
`:. omega_Q=sqrt(2.g.l)/R`
`:. omega_Q > omega_p`