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ERIC Number: EJ1000673
Record Type: Journal
Publication Date: 2012-Nov
Pages: 9
Abstractor: As Provided
Reference Count: 8
ISBN: N/A
ISSN: ISSN-0143-0807
Oscillations of a Simple Pendulum with Extremely Large Amplitudes
Butikov, Eugene I.
European Journal of Physics, v33 n6 p1555-1563 Nov 2012
Large oscillations of a simple rigid pendulum with amplitudes close to 180[degrees] are treated on the basis of a physically justified approach in which the cycle of oscillation is divided into several stages. The major part of the almost closed circular path of the pendulum is approximated by the limiting motion, while the motion in the vicinity of the inverted position is described on the basis of the linearized equation. The accepted approach provides additional insight into the dynamics of nonlinear physical systems. The final simple analytical expression gives values for the period of large oscillations that coincide with high precision with the values given by the exact formula. (Contains 4 figures.)
Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://www.iop.org/EJ/journal/EJP
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A