A uniform stick of length L and mass M is hinged at one end. It is released from rest at an angle θ_{0} with the vertical. Show that when the angle with the vertical is θ, the hinge exerts a force F_{r} along the stick and a force F_{t} perpendicular to the stick given by F_{r} = 1/2Mg(5 cos θ - 3 cos θ_{0}) and F_{t} = (Mg/4) sin θ.

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