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Max Amplitude for a 2 mass oscillation system

  1. Dec 7, 2011 #1
    1. The problem statement, all variables and given/known data


    A mass of "m" is attached to the bottom of a vertical suspended spring with spring constant "k". Attached to that mass is a string , that is connected to a second mass also equal to "m".

    What is the maximum amplitude for the two-mass oscillation system in order for it to remain "simple harmonic" ?
     
  2. jcsd
  3. Dec 7, 2011 #2
    As the amplitude increases the acceleration of the masses increases. When the acceleration is greater then that of gravity there will be slack in the string?
     
  4. Dec 7, 2011 #3
    ahh thank you that sounds reasonable, I was thinking it had something to do with the spring being inelastic anymore , but that makes more sense , tyvm.
     
  5. Dec 8, 2011 #4
    acc max = A w^2

    g = A K/2m

    A= 2gm/k
     
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