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A solid cylinder and a hollow cylinder, ...

A solid cylinder and a hollow cylinder, both of the same mass and same external fiameter 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 ?

A

Solid cylinder

B

Both together

C

One with higher density

D

Hollow cylinder

Text Solution

Verified by Experts

The correct Answer is:
A
Solid cylinder reaches bottom first because for
solid cylinder, `(K^(2))/(R^(2)) = (1)/(2)` and for hollow cylinder,
`(K^(2))/(R^(2)) = 1`. Acceleration down the inclined plane is
Proportional to `(1)/(K^(2)//R^(2))`. Solid cylinder has greater acceleration. It reaches the bottom first.
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