Two uniform planks, each of mass m and length L, are connected by a hinge at the top and by a chain of negligible mass attached at their centers, as shown in the figure. The assembly will stand upright, in the shape of an A, on a frictionless surface without collapsing. As a function of the length of the chain, find each of the following:
a) the tension in the chain,
b) the force on the hinge of each plank, and
c) the force of the ground on each plank.

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