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## Homework Statement

In some diatomic molecules, the force each atom exerts on the other can be approximated by F = -C/r

^{2}+ D/r

^{3}, where r is the atomic separation and C and D are positive constants. Let delta r = r - r

_{0}be a small displacement from equilibrium, where delta r << r

_{0}. Show that for such small displacements, the motion is approximately simple harmonic, and determine the force constant. Thirdly, what is the period of such motion?

## Homework Equations

## The Attempt at a Solution

I have no idea where to start...