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Spring oscillation

  1. Oct 15, 2009 #1
    1. The problem statement, all variables and given/known data

    A 0.5 kg block attached to an ideal spring (k = 100 N/m) oscillates on a horizontal frictionless surface. When the spring is 12 cm shorter than its equilibrium length, the speed of the block is 1.5 m/s. What is the greatest speed of the block?

    2. Relevant equations

    The force becomes F(x) = m a - k x
    The equilibrium position is x = m a / k

    I don't know what else to use

    3. The attempt at a solution

    I don't really have all the work at my fingertips I left it at home(I'm at work now)
    I'm not looking for a solid solution just somewhere to start
    Last edited: Oct 15, 2009
  2. jcsd
  3. Oct 16, 2009 #2


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    Homework Helper

    The velocity of the block is given by
    v =sqrt(k/m)*sqrt(A^2 - x^2) where x is the displacement from the equilibrium position.
    Substitute the values and find the A.
    For maximum velocity x = ...?
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