The Lagrangian formalism and the balance law of angular momentum for a rigid body

M. Kuipers, A.A.F. Ven, van de

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)

Abstract

In this paper we derive Lagrange's equations for a rigid body rotating about its centre of gravity. We base our calculations on the balance law of angular momentum and refrain from the use of the customary and deficient model in which a rigid body is regarded as a limiting case of a rigid system of mass points. After some kinematical preliminaries we proceed in two ways. First we apply coordinates to achieve our goal, and in a second approach we do without them. The latter analysis is seen to be very simple.
Original languageEnglish
Pages (from-to)77-90
Number of pages14
JournalJournal of Engineering Mathematics
Volume16
Issue number1
DOIs
Publication statusPublished - 1982

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