Rotational MotionHard

Question

A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on an inclined plane. Both roll down without slipping. Which one will reach the bottom first?

Options

A.Both together only when angle of inclination of plane is 45o
B.Both together
C.Hollow cylinder
D.Solid cylinder

Solution

Time taken to reach the bottam of inclined plane
      
here, l is length of inclined plane
For solid ctlinder K2 =
For hollow cylinder = K2 = R2
Hence, solid cylinder will reach the bottom first.

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