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The Terminal Behaviour of a Uniformly Shortening Pendulum

Published online by Cambridge University Press:  09 April 2009

M. N. Brearley
M. N. Brearley
Affiliation:
R.A.A.F. Academy Victoria
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In this paper, necessary and sufficient conditions are established for the continuation of small oscillations of a simple pendulum as its string length is decreased uniformly to zero, and the accompanying terminal value of the angular displacement is determined.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 9 , Issue 1-2 , February 1969 , pp. 246 - 249
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]Brearley, M. N., ‘The simple pendulum with uniformly changing string length’, Proc. Edin. Math. Soc. 15 (Series II) (1966).CrossRefGoogle Scholar
[2]Jahnke, E. and Emde, F., Tables of functions (New York, 1945).Google Scholar