1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Compound Harmonic Motion
  1. Harmonic Motion (Replies: 3)

  2. Harmonic Motion (Replies: 0)

  3. Harmonic motion (Replies: 4)

  4. Compound Harmonic Motion (Replies: 19)