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The Physics Teacher -- January 2006 -- Volume 44, Issue 1, pp. 24
Simplifying the Motion of Coupled Oscillators Using the FFT
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 =
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.
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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Online Dec 2005
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