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JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2014 Volume 19, Issue 1, Pages 81–99 (Mi rcd142)

This article is cited in 12 papers

Spin Reversal of a Rattleback with Viscous Friction

Hiroshi Takano

Joetsu university of education, Joetsu, Niigata, 943 Japan

Abstract: An effective equation of motion of a rattleback is obtained from the basic equation of motion with viscous friction depending on slip velocity. This effective equation of motion is used to estimate the number of spin reversals and the rattleback’s shape that causes the maximum number of spin reversals. These estimates are compared with numerical simulations based on the basic equation of motion.

Keywords: rattleback, viscous friction.

MSC: 70E18, 70F40

Received: 29.08.2013
Accepted: 12.11.2013

Language: English

DOI: 10.1134/S1560354714010067



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