A uniform rod AB is of length l and weight 2W. It can turn freely about a smooth hinge at its upper end A. The rod is held in equilibrium by means of a horizontal force P applied at B, which is at a distance a from the vertical line through A. Find the value of P and show that the reaction at the hinge is W [(4l^2-3a^2)/(l^2-a^2)] ^1/2
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