The force constant for a simple harmonic motion is k and the amplitude of the motion is A. The maximum value of the potential energy of a mass m oscillating with simple harmonic motion is B) kA² C) kA² D) kA E) None of these is correct.

Question

Quizplus · Accepted Answer

The potential energy for a mass undergoing simple harmonic motion is given by the equation U = (1/2) k x^2, where x is the displacement from the equilibrium position. The maximum displacement of the mass is the amplitude, A. Therefore, the maximum potential energy occurs when x = A, and is given by U(max) = (1/2) k A^2.

The Force Constant for a Simple Harmonic Motion Is K