A solid cylinder is rolling down on an inclined plane of angle `theta`. The minimum value of the coefficient of friction between the plane and the cylinder to allow pure rolling

Options

A. `(1)/(3) tan theta`
B. `(2)/(3) tan theta`
C. `(2)/(5) tan theta`
D. `(4)/(5) tan theta`

Explanation

Minimum value of friction coefficent for pure rolling
`mu_(min)=(tan theta)/(1+R^(2)//k^(2))=(tan theta)/(1+2)=(1)/(3)tan theta`