A particle performs simple harmonic motion with amplitude and angular frequency

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A particle performs simple harmonic motion with amplitude 4.0 cm4.0\,\text{cm} and angular frequency 5.0 rad s−15.0\,\text{rad}\,\text{s}^{-1}. (a) For what magnitude of displacement from the equilibrium position will the kinetic energy be equal to the potential energy? (b) Calculate the speed of the particle when it is at this displacement.

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