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Motion of Coupled Oscillators C ZYTAMY PO ANGIELSKU

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FOTON 92,Wiosna 2006 69

C ZYTAMY PO ANGIELSKU

Motion of Coupled Oscillators

The Physics Teacher, January 2006/1, Vol. 44

“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 reso- nance at their natural frequency, ω0, when the oscillators oscillate in phase and a resonance at the frequency  022kc/m when the oscillators are 180° out of phase. These oscillations are referred to individually as the symmetric and anti- symmetric modes or collectively as the normal modes. The frequencies are called the normal frequencies.

The system of coupled oscillators consists of two pendula coupled by a weak spring. There is a motion sensor that monitors the position of one of the pendula. The strength of the coupling is adjusted by changing the position I of the coupling spring

Dictionary:

coupled – sprzężony, coupling – sprzężenie spring – sprężyna

resonant frequencies – częstości rezonansowe oscillation – drganie

collectively – wspólnie, razem

pendula – wahadła, pendulum – wahadło

Cytaty

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