The spring-held follower AB has weight W and moves back and forth as its end rolls on the contoured surface of the cam, where the radius is r and z = a sin(2θ). If the cam is rotating at a constant rate of θ', determine the maximum and minimum force the follower exerts on the cam if the spring is compressed δ₁ when θ = 45^o.

Given: W = 0.75 lb r = 0.2 ft a = 0.1 ft = 6 rad S 81 = 0.2 ft k = 12 lb ft 8 = 32.2 ft 2 S