The spring-held follower ab has a weight of 0.83 lb and moves back and forth as its end rolls on the contoured surface of the cam, where r = 0.2 ft and latex: z=\left(0.1\sin2\theta\right) z = ( 0.1 sin ⁡ 2 θ ) ft. if the cam is rotating at a constant rate of 5 rad/s, determine the force at the end a of the follower when latex: \theta=45^\circ θ = 45 ∘ . in this position the spring is compressed 0.4 ft. neglect friction at the bearing c.