A ball of radius R and mass Mrolls down an incline of angle . (a) For the

Question:

A ball of radius R and mass Mrolls down an incline of angle .
(a) For the ball to roll without slipping, should the tangent of the maximum angle of incline be equal to (1) 3 μs/2, (2) 5 μs/2, (3) 7 μs/2, or (4) 9 μs/2? Here, is the coefficient of static friction.
(b) If the ball is made of wood and the surface is also wood, what is the maximum angle of incline?