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1)

Two solid cylinders P and Q of the 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 transiational kinetic energy

D) Cylinder Q reaches the ground with larger angular speed

Answer:

Option D

Explanation:

IP>IQ

 In case of pure rolling,

   a=gsinθ1+I/mR2

aQ>ap  as its moment of inertia is less.

Therefore, Q reaches first with more linear speed and more translational kinetic energy.

 Further, ω=vR

 or   ωV

   ωQ>ωP                as   vp>vQ