The cubic period-distance relation for the Kate reversible pendulum

• Authors: Michele Rossi , Lorenzo Zaninetti
• Languages of publication: EN

Abstracts

EN

We describe the correct cubic relation between the mass configuration of a Kater reversible pendulum and its period of oscillation. From an analysis of its solutions we conclude that there could be as many as three distinct mass configurations for which the periods of small oscillations about the two pivots of the pendulum have the same value. We also discuss a real compound Kater pendulum that realizes this property.

Keywords

EN

Reversible pendulum; physics of the pendulum; mathematics of the pendulum; 01.50.Pa; 01.55.+b; 02.10.Ud; 14Rxx; 45.10.−b

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2005
• Volume: 3
• Issue: 4
• Pages: 636-659

Dates

published

1 - 12 - 2005

online

1 - 12 - 2005

Contributors

author

Michele Rossi

• Dipartimento di Matematica, Università degli Studi di Torino, Via Carlo Alberto 10, 10123, Torino, Italy

author

Lorenzo Zaninetti

• Dipartimento di Fisica Generale, Università degli Studi di Torino, via P. Giuria 1, 10125, Torino, Italy

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Identifiers

DOI

10.2478/BF02475618