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2 Masses with One Spring

  1. Oct 12, 2010 #1
    1. The problem statement, all variables and given/known data
    This is my first time using this forum so I'll try to start this off right.
    The question is this : Two masses, one 100 g and the other 200 g are attached via an ideal spring with spring constant k = 0.5 N/m. The system is slid along a frictionless horizontal surface, find the period of oscillation.

    2. Relevant equations
    F=-kx
    x(t)=Acos(wt - [tex]\phi[/tex])
    Fnet=ma
    Not sure what else.

    3. The attempt at a solution
    I know that after the initial compression/stretch each spring will be displaced by x, and the total displacement will have been 2x. So the equation of motions for the two masses would be:
    x1(t) = xcos(w1t)
    x2(t) = xcos(w2t)
    And I can find the individual angular frequencies w1 and w2, but I don't understand how to go on from here to find the frequency of it as a whole.
     
  2. jcsd
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