Using a digital video camera to examine coupled oscillations

In our previous paper (Debowska E, Jakubowicz S and Mazur Z 1999 Eur J. Phys. 20 89-95), thanks to the use of an ultrasound distance sensor, experimental verification of the solution of Lagrange equations for longitudinal oscillations of the Wilberforce pendulum was shown. In this paper the sensor and a digital video camera were used to monitor and measure the changes of both the pendulum's coordinates (vertical displacement and angle of rotation) simultaneously. The experiments were performed with the aid of the integrated software package COACH 5. Fourier analysis in Microsoft(R) Excel 97 was used to find normal modes in each case of the measured oscillations. Comparison of the results with those presented in our previous paper (as given above) leads to the conclusion that a digital video camera is a powerful tool for measuring coupled oscillations of a Wilberforce pendulum. The most important conclusion is that a video camera is able to do something more than merely register interesting physical phenomena-it can be used to perform measurements of physical quantities at an advanced level.