Coupled oscillator

  • #1

Homework Statement



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.
 

Answers and Replies

  • #3
Could someone explain to me what is exactly is the "coupling force" ?
 
  • #4
Simon Bridge
Science Advisor
Homework Helper
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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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