Calculating the Period of Small Oscillations for a Floating Object

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[SOLVED] Mechnics - Small Oscillations

Homework Statement


A body of uniform cross-sectional are A= 1cm^2 and a mass of density p= 0.8g/cm^3floats in a liquid of density po=1g/cm^3 and at equilibrium displaces a volume of V=0.8cm^3. Show that the period of small oscillations about the equilibrium position is given by t = 2*pi*(v/gA)^.5 where g is the gravitational field strength. Determine the value of t.


Homework Equations





The Attempt at a Solution


I am totally lost on this one. I am thinking that I would need to find the mass of the object, which is simple because the density and volume are given. What do I do after that?
 
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i) At equilibrium, what are the forces acting on the object?
ii) If you displace the object by a small amount from the equilibrium position, what's the restoring force?
iii) Is this a type of Simple harmonic motion for small displacements?
 
I figured it out, thanks for the pointers!
 

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