P15_037 - 37. (a) We assume the center of mass is closer to...

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37. (a) We assume the center of mass is closer to the right end of the rod, so the distance from the left end to the center of mass is ` =0 . 60 m. Four forces act on the rod: the upward force of the left rope T L , the upward force of the right rope T R , the downward force of gravity mg ,andtheupward buoyant force F b . The force of gravity (e±ectively) acts at the center of mass, and the buoyant force acts at the geometric center of the rod (which has length L . 80 m). Computing torques about the left end of the rod, we ²nd T R L + F b µ L 2 mg` =0 = T R = mg` F b L/ 2 L . Now, the buoyant force is equal to the weight of the displaced water (where the volume of displace-
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