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Rotational Motion question

2010 · Q96
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Rotational Motion question

2010 · Q96

NEETPhysicsRotational MotionMCQ+4 / −1
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?
  1. A
    Both together only when angle of inclination of plane is 45o
  2. B
    Both together
  3. C
    Hollow cylinder
  4. D
    Solid cylinder
View written solutionFree

Correct answer: D

Time taken to reach the bottom of inclined plane.

t=2l(1+K2R2)gsin⁡θt = \sqrt {{{2l\left( {1 + {{{K^2}} \over {{R^2}}}} \right)} \over {g\sin \theta }}} t=gsinθ2l(1+R2K2​)​​

Here, lll is length of incline plane

For solid cylinder K2=R22{K^2} = {{{R^2}} \over 2}K2=2R2​

For hollow cylinder K2 = R2

Hence, solid cylinder will reach the bottom first.

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