8. (20 points) As shown on the right, a uniform rod with a weight W = 100 N and a length L = 2.0 m is hinged at the bottom end and is vertical. A light cable, tied to the rod at a height of h = 1.0 m, makes an angle 0 =40 from the horizontal. A horizontal force F = 50 N is exerted at a height H = 1.5 m on the rod. (a) Draw a free-body diagram for the rod. (b) What is the tension in the cable? (c) What are horizontal and vertical components of the force exerted on the rod at the hinge