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An object with height h,
mass M, and a uniform cross-sectional area A floats upright in a liquid
with density r. (a) Calculate the vertical distance from the surface of the
liquid to the bottom of the floating object at equilibrium. (b) A downward
force with magnitude F is applied to the top of the object. At the
new equilibrium position, how much farther below the surface of the liquid
is the bottom of the object than it was in part (a)? (Assume that some
of the object remains above the surface of the liquid.) (c) Your result
in part (b) shows that if the force is suddenly removed, the object will
oscillate up and down in SHM. Calculate the period of this motion in
terms of the density r of the liquid, the mass M, and the cross-sectional
area A of the object. You can ignore the damping due to fluid friction

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