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Spring under gravity

  1. Mar 11, 2012 #1
    1. The problem statement, all variables and given/known data

    Consider particle of mass m on a spring of length k, suspended vertically( subject to gravity). Choose an appropriate coordinate for this 1 degree of freedom system and find the langragian. Derive the equation of motion and find the equilibrium point. Using a new coordinate u with u=0 at the equilibrium point, find the general solution to the differential equation. What is the period of motion?

    2. Relevant equations



    3. The attempt at a solution

    Sorry I just feel as if I am doing this wrong..... But can you please tell me if I am on the straight lines.... F=mg-kx and V=1/2kx^2. And T=1/2mx'^2 And the period is T=2∏/ω

    I don't really know what I can do....please help.
     
  2. jcsd
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