Prove that the kinetic energy of a particle in simple harmonic motion at a…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Oscillations · Oscillations

Problem

Prove that the kinetic energy of a particle in simple harmonic motion at a displacement xx from the mean position is K=12mω2(A2−x2)K = \tfrac12 m \omega^2 (A^2 - x^2).

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