Energy in Simple Harmonic Motion Video Lessons

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Problem: A harmonic oscillator has angular frequency ω and amplitude A.At an instant when the displacement is equal to A/2, what fraction of the total energy of the system, E, is kinetic, and what fraction is potential?

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The mechanical energy of a SHM oscilator:

12kA2=12kx2+12mvx2 where (1/2)kA2 is the total energy E, (1/2)kx2 is the potential energy U, and (1/2)mvx2 is the kinetic energy K.

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A harmonic oscillator has angular frequency ω and amplitude A.

At an instant when the displacement is equal to A/2, what fraction of the total energy of the system, E, is kinetic, and what fraction is potential?

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