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## Homework Statement

Let the potential energy of particle depend upon coordinate x as:

U(x) = U

_{0}(1-cos(ax)). Where "U

_{0}" and "a" are constants. Find the period of small oscillations that particle performs about its equilibrium position.

**2. Given Answer**

T = 2∏√(m/a

^{2}U

_{0})

## The Attempt at a Solution

It can be seen from the equation that equilibrium will be at x = 0, where forces acting are zero. Also after integrating the equation with dx, it is seen that the motion is relevant to forced oscillations.