Question

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?
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 1

Correct Answer - D
(d) The acceleration of the centre of mass of cylinder rolling
down an inclined plane is
`a_c = (g sin theta)/(I_P)/(1+MR^2)`
Here `I_Pgt I_Q` because in
case of P the mass is
concentrated away from
the axis. `:. a_P lt a_Q rArr v_p lt v_Q rArr omega_p lt omega_Q`