Solving Statics Equilibrium Problem: Find Angle THETA

[jrstickballs]

Homework Statement

Bar AB of negligible weight is subjected to a vertical force of 600 lb and a horizontal force of 300 lb applied as shown in the figure. Find angle THETA at w/c equilibrium exists. Assume smooth inclined surfaces.

Homework Equations

What is the value of angle THETA?

The Attempt at a Solution

I'm not sure of what I'm going to do because there are two inclined planes and it's hard for me to solve this one. :(

 

[SteamKing]

Well, before you give up, try drawing a free body diagram showing the applied loads on the rod and the reactions at each end of the rod. You are given the slopes of the two inclined planes at the ends of the rod.

Since the inclined surfaces are smooth, there should be a certain angle theta for which the reactions will keep the rod from sliding.