Question

A particle of mass m is present in a unidimensional potential field where the potential energy depends on coordinate x as u(x)= u 0 {1- cos(ax)}, u 0 and a are positive constants. Find the period of small oscillation that the particle performs about equilibrium position.

Answer 1

A particle of mass m is located in a unidimensional potential field where the potential energy of the particle depends on the coordinate x as U (x) = U0 (1 — cosax); U0 and a are constants. Find the period of small oscillations that the particle performs about the equilibrium position.

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