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## Homework Statement

We have a rod with length L and with the left end the rod is fixed to the ceiling in such a way it can swivel. As we can see from the picture (attached file) on right end two forces are acting on the rod: F and mg.

The question is: How does the incline of the rod depend on mass and force F?

## Homework Equations

## The Attempt at a Solution

I started solving this problem generally. Started to draw force diagram, but got more unknown variables than there are equations. When I looked up to the solution sheet there was written:

[tex]FL\cos\alpha = mgL\cos\frac{\alpha}{2}[/tex] From where did they conclude the angles?

I think from the picture you cannot deduce this yourself. Did they made an assumption that is obvious from the picture but I missed it?

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