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.
Text Solution
Verified by Experts
The correct Answer is:
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`
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