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Homework Help: Compound Harmonic Motion

  1. Feb 12, 2008 #1
    1. The problem statement, all variables and given/known data

    Determine the motion of this mechanical system satisfying the initial conditions :-
    y1(0) = 1
    y2(0) = 2
    y1'(0) = -2*sqrt(6)
    y2'(0) = sqrt(6)

    Hint : there are 4 different methods you can use to solve this problem. They all give the same exact result.

    I need to know what y1(t) and y2(t) are, please

    2. Relevant equations
    I know the shm equations- are they valid here?

    3. The attempt at a solution

    total k = 1/(1/k1+1/k2)

    total m = m1 + m2
  2. jcsd
  3. Feb 12, 2008 #2
    I believe this problem is gonna be a set of coupled differential equations

    you can use linear algebra techniques to decouple them, or just brute force if you're unfamiliar with that.

    I think it will proceed similarly to this https://www.physicsforums.com/archive/index.php/t-203860.html except his setup is different
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