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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`. Coeff. of friction between the cylinder and the plane is `mu`. For what maximum inclination `theta`, the cylinder rolls without slipping ?

A

`tan^(-1) mu`

B

`tan^(-1) (3mu)`

C

`tan^(-1) 2mu`

D

`tan^(-1) .(3)/(2) mu`

Text Solution

Verified by Experts

The correct Answer is:
B
As is know from theory,
`mu = (tan theta)/(1 + mR^(2)//I) = (tan theta)/(1+2) = (tan theta)/(3)`
`tan theta_(max) = 3mu`
`theta_(max) = tan^(-1) (3mu)`
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