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Question

Physics Question on System of Particles & Rotational Motion

For a hollow cylinder and a solid cylinder rolling without slipping on an inclined plane, then which of these reaches earlier

A

solid cylinder

B

hollow cylinder

C

both simultaneously

D

can't say anything

Answer

solid cylinder

Explanation

Solution

Solid sphere reaches the bottom first because for solid cylinderK2R2=12,\frac{K^2}{R^2}=\frac{1}{2},
and for hollow cylinderK2R2=1\frac{K^2}{R^2}=1.
Acceleration down the inclined plane 1K2/R2∝ \frac{1}{K^2/R^2}.
Solid cylinder has greater acceleration, so it reaches the bottom first.