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The Physics Teacher -- January 2006 -- Volume 44, Issue 1, pp. 24

Simplifying the Motion of Coupled Oscillators Using the FFT

Don Easton

Lacombe, AB Canada

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When two identical simple harmonic oscillators are coupled by a linear spring that has a spring constant kc, the system has two resonant frequencies. There is a resonance at their natural frequency, ω0, when the oscillators oscillate in phase and a resonance at the frequency ω = math when the oscillators are 180° out of phase. These oscillations are referred to individually as the symmetric and antisymmetric modes or collectively as the normal modes. The frequencies are called the normal frequencies.

© 2006 American Association of Physics Teachers

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History
Online Dec 2005

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0031-921X (print)  

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