Abstract

In this paper experimental verification of the important features of the motion of the Wilberforce pendulum is shown. The vertical displacement of the pendulum has been `watched' by computer in real time. The experiments were carried out with different combinations of initial conditions. Fourier analysis of the experimental results revealed the existence of two frequencies corresponding to two normal modes. When their amplitudes are equal the modes combine to produce `beats'. In this case the frequencies of longitudinal and torsional vibrations of the pendulum are equal. This is called the resonance case. Our experiment allows one to observe not only the beats of the two normal modes but also each of the modes separately.

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