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

A cylinder of radius `R` and mass `M` rolls without slipping down a plane inclined at an angle `theta`. Coefficient of friction between the cylinder and the plane is `mu`. For what maximum inclination `theta`, the cylinder rolls without slipping ?

A

tan`theta` gt `3 mu_s`

B

tan`theta` `le` `3mu_s`

C

tan`theta` lt `3 mu_s`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B

The condition for rolling of cylinder without slipping is `tanthetale 3mus_(s)`
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