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ERIC Number: EJ831234
Record Type: Journal
Publication Date: 2009-Mar
Pages: 6
Abstractor: As Provided
ISSN: ISSN-0143-0807
Turning Points of the Spherical Pendulum and the Golden Ratio
Essen, Hanno; Apazidis, Nicholas
European Journal of Physics, v30 n2 p427-432 Mar 2009
We study the turning point problem of a spherical pendulum. The special cases of the simple pendulum and the conical pendulum are noted. For simple initial conditions the solution to this problem involves the golden ratio, also called the golden section, or the golden number. This number often appears in mathematics where you least expect it. To put our result in perspective we briefly discuss its relevance in physics. (Contains 2 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:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: Students; Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A