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Statics problem

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Hi guys. I have one problem from competition that I can't solve. I'll try to translate it.

"rod of mass m and length l is lying on a ball of radius R in state of equilibrium. The rod makes angle θ with the horizontal. There is friction in every point of contact, and it's assumed that it is large enough to hold the system in equilibrium. Find the friction between surface and a ball.

I tried to sketch it in sketch toy, it looks like this: http://sketchtoy.com/55802563

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