Simple harmonic motion of floating object


Assignment:

An object with height h, mass M, and a uniform cross-sectional area A floats upright in a liquid with density p.

a). Calculate the vertical distance from the surface of the liquid to the bottom of the floating object at equilibrium.
b). Calculate the vertical distance from the surface of the liquid to the bottom of the floating object at equilibrium.
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 rho of the liquid, the mass M, and cross-sectional area A of the object. Neglect the damping due to fluid friction.

Express your answer in terms of the given quantities.

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Physics: Simple harmonic motion of floating object
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