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A lobsterman's buoy is a solid wooden cylinder of radius r and mass M. It is weighted on one end so that it floats upright in calm sea water, having...

A lobsterman's buoy is a solid wooden cylinder of radius r and mass M. It is weighted on one end so that it floats upright in calm sea water, having density . A passing shark tugs on the slack rope mooring the buoy to a lobster trap, pulling the buoy downward a distance x from its equilibrium position and releasing it.
Determine the period of the oscillations. (Use rho for ρ, M, r, and g as appropriate in your equation.)

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