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Buoy Problem - Center of Gravity

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(See attached file for full problem description)

A cylindrical buoy two meters in diameter and six meters high is floating upright in seawater as shown at 20 degrees C. The buoy contains weather recording instrumentation and has a mass of 12,000 kg. Its center o gravity is 2 meters above the bottom.

a) Determine the depth the buoy will float in the upright position.
b) Determine the distance from the bottom (k) to the metacenter (m) and state whether the buoy is stable or not in this position.
c) Determine the volume of concrete attache as shown required to be submerged with one meter above the water line.

The specific weight of concrete is 25kN/m3.

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A calculation of the mechanics of a floating buoy in reference to its center of gravity.

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