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A metal rod of length 76 cm and mass 1.79 kg has a uniform cross-sectional area...

A metal rod of length 76 cm and mass 1.79 kg has a uniform cross-sectional area of 7.7 cm2. Due to a nonuniform density, the center of mass of the rod is 22.2 cm from the right end of the rod. The rod is suspended in a horizontal position in water by ropes attached to both ends (the figure). (a) What is the tension in the rope closer to the center of mass? (b) What is the tension in the rope farther from the center of mass? (Hint: The buoyancy force on the rod effectively acts at the rod's center.)

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