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Pqpolalk357
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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.