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Homework Help: Conservation of energy I think

  1. Oct 26, 2014 #1
    1. The problem statement, all variables and given/known data
    PLEASE HELP: A bead at the end of a vertical spring moves without friction along a horizontal wire. WHen the spring is perfectly vertical , the spring is neither stretched or compressed. Show that the bead experiences a restoring force, and that if x is small, then the magnitude of the force is proportional to x^3 rather x^1. You will want to use the approximation (1+x)^n = 1+nx for x<<1

    2. Relevant equations
    U + K = E

    3. The attempt at a solution
    I tried thinking about this like a pendulum with kx as the restoring force. Other than that, my work has gotten me nowhere.
  2. jcsd
  3. Oct 26, 2014 #2


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    Draw a free body diagram for the bead at some displacement x. What are the forces on it?
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