A water trough is constructed from two symmetric parts that create a
90\deg
semi-circle with an inside radius of 2 feet and a vertical wall 1.5 feet tall. The parts are hinged at the bottom and held together by a cable across the top that is placed every 6 feet down the length of the trough. If the trough is full of fresh water, determine the tension in the cable (you may ignore the weight of the trough).

Question

A water trough is constructed from two symmetric parts that create a

90\deg

semi-circle with an inside radius of 2 feet and a vertical wall 1.5 feet tall. The parts are hinged at the bottom and held together by a cable across the top that is placed every 6 feet down the length of the trough. If the trough is full of fresh water, determine the tension in the cable (you may ignore the weight of the trough).

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