Make a sketch of how the position and kinetic energy of a harmonic oscillator vary with time.

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Make a sketch of how the position and kinetic energy of a harmonic oscillator vary with time. The period of the oscillations of KE can be determined from the separation in time of adjacent maxima in your KE sketch. Show that the frequency of the KE oscillations is equal to twice the frequency of the displacement oscillations (Eq. 11.14). Explain why.

k (11.14) 2т V т

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