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A solid cylinder of mass M and radius R ...

A solid cylinder of mass `M` and radius `R` rolls without slipping down an inclined plane of length `L` and height `h`. What is the speed of its center of mass when the cylinder reaches its bottom

A

`sqrt((3)/(4)gh)`

B

`sqrt((4)/(3)gh)`

C

`sqrt(4gh)`

D

`sqrt(2gh)`

Text Solution

Verified by Experts

The correct Answer is:
B
Velocity at the bottom `(v)= sqrt((2gh)/(1+ (K^(2))/(R^(2))))= sqrt((2gh)/(1+ (1)/(2))) = sqrt((4)/(3)gh)`
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