Car Is To Be Towed Using The Rope Arrangement Shown

A . The towing force required is P. Determine the minimum length l of rope AB so that the tension in either rope AB or AC does not exceed T. Hint: Use the equilibrium condition at point A to determine the required angle θ for attachment, then determine l using trigonometry applied to triangle ABC.

Given:
P = 600 lb
T = 750 lb
φ = 30 deg
d = 4 ft

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