Compound pendulum pivot force

The force at the pivot of a simple pendulum and the acceleration of the bob have been the subject of a number of papers. The present paper extends this analysis to a compound pendulum, which requires an extra torque to rotate the pendulum about its center of mass. The dependence of the pivot force o...

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Bibliographic Details
Published in:European journal of physics 2020-12, Vol.42 (2), p.25001
Main Author: Hinrichsen, Peter F
Format: Article
Language:English
Subjects:
compound pendulum
pendulum center of mass acceleration
pendulum pivot force
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Summary:The force at the pivot of a simple pendulum and the acceleration of the bob have been the subject of a number of papers. The present paper extends this analysis to a compound pendulum, which requires an extra torque to rotate the pendulum about its center of mass. The dependence of the pivot force on κ = k/a, the ratio of the radius of gyration k to the center of mass position a, is investigated. The pivot force on an ideal compound pendulum is shown to be the same as that for a lighter simple pendulum plus a mass located at the pivot.
ISSN:0143-0807
1361-6404
DOI:10.1088/1361-6404/abc788