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A cylindrical buoy of mass m and radius r is initially floating at its equilibrium depth y0 = 0. If the buoy is vertical kicked

A cylindrical buoy of mass m and radius r is initially floating at its equilibrium depth y0 = 0. If the buoy is vertical kicked it begins to oscillate as if attached to a spring

a.) what is the effective spring constant for the oscillation in terms of g, r, and water

b.) what is the period T of oscillation? (Assume zero damping and assume the water remains flat such that Archimedes principle can be applied.)

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