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Buoyancy ODE question

  1. Mar 23, 2005 #1
    I am trying to set up a first order differential equation to express the oscillation of a spherical float floating on water. I know that the two forces acting on the spherical float is force buoyancy and gravity and there is two density (density of water and density of the sphere). So first what i did was let y(t)= the top of the sphere [0, L]

    this is where I'm stuck. I know that I am suppose to find an expression for submerged volume and use Newton's eqaution to derive the differential equation but having difficulties with that....please help..
  2. jcsd
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