An engineer is designing a conveyor system for loading hay bales into a wagon (Figure 1). Each bale is 0.25 m wide, 0.50 m high, and 0.790 m long (the dimension perpendicular to the plane of the figure), with mass 32.9 kg . The center of gravity of each bale is at its geometrical center. The coefficient of static friction between a bale and the conveyor belt is 0.64, and the belt moves with constant speed. The angle β
of the conveyor is slowly increased. At some critical angle a bale will tip (if it doesn't slip first), and at some different critical angle it will slip (if it doesn't tip first). Find the critical angle when a bale will tip. Find the critical angle when a bale will slip. Would the outcome of part A be different if the coefficient of friction were 0.40? Would the outcome of part B be different if the coefficient of friction were 0.40?