JEE Advanced 2012 Physics 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 of 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)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.Correct

Answer: (D)

Solution

For rolling without slipping . P (mass near the surface) has the larger moment of inertia, so it has the smaller acceleration and reaches the ground later: (A) and (B) are false. At

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Question ID VK-026081