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Mechnics - Small Oscillations

  1. Dec 9, 2007 #1
    [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. jcsd
  3. Dec 9, 2007 #2


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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?
  4. Dec 10, 2007 #3
    I figured it out, thanks for the pointers!
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