3. Two-axis linear oscillator. Bryan coefficient

A massm, free to move in a plane Oxy, is attached, for example, by four springs (figure 4 ). When moved away from its origin O, it is subject to a restoring force proportional to the displacement and directed towards the center of origin O. We assume that the reference frame xy is driven at speed Ω around O. The dynamic equations are written : ${\begin{array}{l} m \ddot{x} = - k x + 2 m Ω \overset{\cdot}{y} \end{array}$

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Two-axis linear oscillator. Bryan coefficient

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References

(1) - FOUCAULT (L.) - Démonstration physique du mouvement de la Terre au moyen du pendule. - C. R. Acad. Sc. Paris, vol. 32, août 1851, p. 135-138.
(2) - BRYAN (G.H.) - On the beats in the vibrations of a revolving cylinder or bell....

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