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Homework Help: Spring Force

  1. Oct 31, 2005 #1
    I'm just having some trouble with this problem. Any help would really be appreciated. I'm not even sure where to start.

    A spring (not ideal) supplies a force given by F = zx^2, where x is measured from the equilibrium position and z is a constant. A mass m is attached to the spring and then released from rest at x = 0 (non-stretched spring)

    a) show that the maximum downward displacement of the mass will be (3mg/z)^(1/2)
    b) At what displacement will the mass have its maximum velocity

    Thank you
    Last edited: Oct 31, 2005
  2. jcsd
  3. Oct 31, 2005 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Start by deriving the spring potential energy as a function of displacement x. (Hint: How much work is required to stretch the spring?)
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