# Homework Help: Mechnics - Small Oscillations

1. Dec 9, 2007

### Varnson

[SOLVED] Mechnics - Small Oscillations

1. The problem statement, all variables and given/known data
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.

2. Relevant equations

3. 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?

2. Dec 9, 2007

### siddharth

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?

3. Dec 10, 2007

### Varnson

I figured it out, thanks for the pointers!