Chapter 12, Problem 77CP

Two wheels A and B with weights $w$ and $2w$ , respectively,are connected by a uniform rod with weight $w/2$ , as shown below. The wheels are free to roll on the sloped surfaces. Deternine the angle that the rod forms with the horizontal when the system is in equilibrium. Hint: There are five forces acting on the rod, which is two weights of the wheels, two normal reaction forces at points where the wheels make contacts with the wedge, and the weight of the rod.