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The Simple Pendulum with Uniformly Changing String Length

Published online by Cambridge University Press:  20 January 2009

M. N. Brearley
M. N. Brearley
Affiliation:
University of Adelaide, South Australia
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Abstract

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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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 15 , Issue 1 , June 1966 , pp. 61 - 66
Copyright
Copyright © Edinburgh Mathematical Society 1966

References

REFERENCES

(1)Watson, G. N., A Treatise on the Theory of Bessel Functions (Cambridge, 1944).Google Scholar
(2)Jahnke, E. and Emde, F., Tables of Functions (New York, 1945).Google Scholar
(3)Chistova, E. A., Tables of Bessel Functions (London, 1959).Google Scholar