Two uniform planks, each of mass m = 4.05 kg and length L = 2.17 m, are connecte

Question

Two uniform planks, each of mass m = 4.05 kg and length L = 2.17 m, 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. If the chain has the length 0.75 m, find each of the following:

a) the absolute value of the tension in the chain,

b) the absolute magnitude of the force on the hinge of each plank, and

c) the force of the ground on each plank.

Explanation / Answer

the tension in the chain is T = mg where m = 4.05 kg and g = 9.8 m/s^2 b)the force is F = mg/2 c)the force of the ground on each plank is F1 = mg * L/l where L = 2.17 m and l = 0.75 m

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