Block and wedge*
A block rests on a wedge inclined at angle θ. The coefficient of friction between the block and plane is μ.
(a) Find the maximum value of θ for the block to remain motionless on the wedge when the wedge is fixed in position.
(b) The wedge is given horizontal acceleration a, as shown. Assuming that tan θ>μ, find the minimum acceleration for the block to remain on the wedge without sliding. a θ g
(c) Repeat part (b), but find the maximum value of the acceleration.