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Numerical Study of the Elastic Pendulum on the Rotating Earth
Joint Authors
Jurčič-Zlobec, Borut
Stanovnik, Aleš
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-15
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The elastic pendulum is a simple physical system represented by nonlinear differential equations.
Analytical solutions for the bob trajectories on the rotating earth may be obtained in two limiting cases: for the ideally elastic pendulum with zero unstressed string length and for the Foucault pendulum with an inextensible string.
The precession period of the oscillation plane, as seen by the local observer on the rotating earth, is 24 hours in the first case and has a well-known latitude dependence in the second case.
In the present work, we have obtained numerical solutions of the nonlinear equations for different string elasticities in order to study the transition from one precession period to the other.
It is found that the transition is abrupt and that it occurs for a quite small perturbation of the ideally elastic pendulum, that is, for the unstressed string length equal to about 10−4 of the equilibrium length due to the weight of the bob.
American Psychological Association (APA)
Stanovnik, Aleš& Jurčič-Zlobec, Borut. 2012. Numerical Study of the Elastic Pendulum on the Rotating Earth. ISRN Mathematical Physics،Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-499539
Modern Language Association (MLA)
Stanovnik, Aleš& Jurčič-Zlobec, Borut. Numerical Study of the Elastic Pendulum on the Rotating Earth. ISRN Mathematical Physics No. 2012 (2012), pp.1-7.
https://search.emarefa.net/detail/BIM-499539
American Medical Association (AMA)
Stanovnik, Aleš& Jurčič-Zlobec, Borut. Numerical Study of the Elastic Pendulum on the Rotating Earth. ISRN Mathematical Physics. 2012. Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-499539
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499539