For a particle in simple harmonic motion

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

For a particle in simple harmonic motion, the kinetic energy varies with time during one complete oscillation. (a) Obtain the range of displacements (in terms of amplitude AA) for which the kinetic energy exceeds the potential energy. (b) Hence determine the fraction of time in one complete oscillation during which the kinetic energy is greater than the potential energy. (c) Express this fraction as a percentage, correct to the nearest whole number.

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