A solid sphere of diameter 1m and average mass density of 780kg/m3 is completely submerged in a tank filled with water. It is held in place by a string attached to the bottom of the tank, as shown. The mass distribution inside the sphere is non-uniform, so the center of mass lies at a distance 0.50R from the geometric center. Suppose that the sphere is attached rigidly to a massless horizontal rod of length 0.75m and negligible volume oriented along the line formed by the center of mass and the geometric center of the sphere, as shown. The rod is attached on the side of the sphere nearer the center of mass, and the far end of the rod is attached to a fixed pivot. What is the buoyant force acting on the sphere? What is the tension in the string that is needed to hold the sphere in place? What is the reaction on the pivot?
A solid sphere of diameter 1m and average mass density of 780kg/m3 is completely submerged in a tank filled with water. It is held in place by a string attached to the bottom of the tank, as shown. The mass distribution inside the sphere is non-uniform, so the center of mass lies at a distance 0.50R from the geometric center. Suppose that the sphere is attached rigidly to a massless horizontal rod of length 0.75m and negligible volume oriented along the line formed by the center of mass and the geometric center of the sphere, as shown. The rod is attached on the side of the sphere nearer the center of mass, and the far end of the rod is attached to a fixed pivot. What is the buoyant force acting on the sphere? What is the tension in the string that is needed to hold the sphere in place? What is the reaction on the pivot?
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