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A homogeneous rod of length 2l leans aga...

A homogeneous rod of length 2l leans against a vertical wall at one end and against a smooth stationary surface at another end. What function y (.x) must be used to describe the cross section of this surface for the rod to remain in equilibrium in any position even in the absence of friction? Assume that the rod remains all the time in the same vertical plane perpendicular to the plane of the wall.

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