Solving Statics Equilibrium Problem: Find Angle THETA

AI Thread Summary
To solve for angle THETA in the statics equilibrium problem involving bar AB, a free body diagram is essential to visualize the applied vertical and horizontal forces. The problem involves two inclined planes, which complicates the analysis but provides necessary slopes for calculations. The key is to determine the angle THETA that allows the reactions at the ends of the rod to prevent sliding, given the smooth surfaces. Understanding the relationship between the applied forces and the geometry of the inclined planes is crucial for finding the equilibrium condition. A systematic approach using equilibrium equations will lead to the solution for angle THETA.
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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. :(
 

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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.
 

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