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## Homework Statement

Two identical undamped oscillators are coupled in such a way that the coupling force exerted on oscillator A is [tex]\alpha\frac{d^2x_a}{dt^2}[/tex] and the coupling force exerted on oscillator B is [tex]\alpha\frac{d^2x_b}{dt^2}[/tex] where [tex]\alpha[/tex] is a coupling constant with magnitude less than 1. Describe the normal modes of the coupled system and find their frequencies.

## The Attempt at a Solution

I know this isn't much of an attempt, but I've searched online and in the text... what am I supposed to do with this coupling constant?