The Dynamics of a Bead Sliding on a Freely Rotating Horizontal Wire: An Analytical Solution View Full Text


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Article Info

DATE

2021-07-02

AUTHORS

Omran Kouba, Dennis S. Bernstein

ABSTRACT

This paper analyzes the dynamics of a bead sliding along a rotating horizontal wire whose rate of rotation varies due to the motion of the bead. Legendre’s elliptic integrals are used to obtain an analytical solution of the equation of motion given by a nonlinear second-order differential equation. The analytical solution is used to determine the terminal velocity of the bead and the asymptotic angle of the wire. More... »

PAGES

1-13

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s12591-021-00574-8

DOI

http://dx.doi.org/10.1007/s12591-021-00574-8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1139348779


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