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Coupled oscillator

  1. Jul 4, 2013 #1
    1. The problem statement, all variables and given/known data

    Two identical undamped oscillators, A and B, each of mass m and natural (angular) frequency $\omega_0$, are coupled in such a way that the coupling force exerted on A is [tex]\alpha m (\frac{d^2 x_A}{dt^2})[/tex], and the coupling force exerted on B is [tex] \alpha m (\frac{d^2 x_B}{dt^2})[/tex], where [tex] \alpha[/tex] is a coupling constant of magnitude less than 1. Describe the normal modes of the coupled system and find their frequencies.

    I just need someone to explain to me what is the form of the differential equation with respect to each mass. The rest I can continue.
     
  2. jcsd
  3. Jul 4, 2013 #2

    Simon Bridge

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    Last edited by a moderator: May 6, 2017
  4. Jul 5, 2013 #3
    Could someone explain to me what is exactly is the "coupling force" ?
     
  5. Jul 5, 2013 #4

    Simon Bridge

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    It is the force that each pendulum exerts on the other.
    In a 2-mass, 3-spring system - it comes from the middle spring.
     
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