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Turning points of the spherical pendulum and the golden ratio
KTH, School of Engineering Sciences (SCI), Mechanics.
KTH, School of Engineering Sciences (SCI), Mechanics.
2009 (English)In: European journal of physics, ISSN 0143-0807, E-ISSN 1361-6404, Vol. 30, no 2, 427-432 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2009. Vol. 30, no 2, 427-432 p.
Identifiers
URN: urn:nbn:se:kth:diva-18207DOI: 10.1088/0143-0807/30/2/021ISI: 000263675800021Scopus ID: 2-s2.0-63449092468OAI: oai:DiVA.org:kth-18207DiVA: diva2:336253
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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