Proceedings of the Edinburgh Mathematical Society (Series 2)

Research Article

The Simple Pendulum with Uniformly Changing String Length

M. N. Brearleya1

a1 University of Adelaide, South Australia


An analysis is made of the motion of a simple undamped pendulum which performs small oscillations in one plane while its string is raised or lowered through the point of support at a constant rate. The behaviour of the system and the variation of its angular and linear amplitudes are expressible in terms of Bessel functions of orders 0, 1 and 2.

(Received November 14 1964)