Let the potential energy of particle depend upon coordinate x as:
U(x) = U0(1-cos(ax)). Where "U0" and "a" are constants. Find the period of small oscillations that particle performs about its equilibrium position.
2. Given Answer
T = 2∏√(m/a2U0)
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.