Okay, so if a harmonic oscillator has a restoring force given by Hooke's Law such that(adsbygoogle = window.adsbygoogle || []).push({});

F_{s}= -kx

and its integral gives the potential energy associated with the restoring force:

PE = -(1/2)kx^{2}

Then for the total energy of a harmonic oscillator, why is the TE:

TE = E_{vibration}+ E_{rotation}

Instead of:

TE = E_{vibration}+ E_{rotation}- (1/2)kx^{2}

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# Harmonic Oscillator and Total Energy

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