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 = ω02 + 2kc/m 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.

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