A homogeneous ball is placed on a plane making an angle `theta` with the horizontal. At what values of the coefficient of friction `mu` the ball roll down the plane without slipping ?
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Options

A. `ge (2)/(7) g tan theta`
B. `ge (2)/(5) g tan theta`
C. `ge (2)/(3) tan theta`
D. `ge (3)/(4) tan theta`

Answer

A

Explanation

(a) `mu ge (g sin theta)/(1 + (MR^2)/(I)) rArr mu ge (g tan theta)/(1 + (MR^2)/((2//5)MR^2)) = (2)/(7) g tan theta`.