A particle of mass `m` is located in a unidimensional potential field where potential energy of the particle depends on the coordinates `x as: U (x) = U_(0) (1 - cos Ax), U_(0)` and A constants.
Find the period of small oscillation that the particle performs about the equilibrium position.

Explanation

To find the period of small oscillation for a particle of mass `m` in a potential field defined by \( U(x) = U_0 (1 - \cos(Ax)) \), we will follow these steps:

### Step 1: Identify the Equilibrium Position
The equilibrium position occurs where the force acting on the particle is zero. The force can be derived from the potential energy as:
\[ F(x) = -\frac{dU}{dx} \]
Calculating the derivative:
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