Determine the magnitude of the resultant force the pin exerts on the jib and tension in hoist line

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The upper portion of the crane boom consists of the jib AB, which is supported by the pin at A, the line BC, and the backstay CD, each cable being separately attached to the mast at C. If the load F is supported by the hoist line, which passes over the pulley at B, determine the magnitude of the resultant force the pin exerts on the jib at A for equilibrium, the tension in the line BC, and the tension T in the hoist line. Neglect the weight of the jib. The pulley at B has a radius of r.

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