- #1

- 13

- 0

## 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.