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Classical Mechanics, Second Edition, 2nd Edition
book

Classical Mechanics, Second Edition, 2nd Edition

by Tai L. Chow
May 2013
Intermediate to advanced content levelIntermediate to advanced
639 pages
23h 12m
English
CRC Press
Content preview from Classical Mechanics, Second Edition, 2nd Edition
587
Appendix 2: D’Alembert’s Principle
and Lagrange’s Equations
A2.1 VIRTUAL DISPLACEMENT, VIRTUAL WORK,
AND PRINCIPLE OF VIRTUAL WORK
D’Alembert’s principle is based on the concepts of virtual displacement and virtual work. What do
we mean by virtual displacement and virtual work?
a2.1.1 virTual disPlacemenT
A virtual displacement, denoted by δr
1
,
is dened as an imagined, innitesimal, instantaneous dis-
placement of the coordinates that is consistent with the constraints. In other words, virtual displace-
ments have three characteristics: (1) They are innitesimal, (2) they occur at a given instant in time
(i.e., no time changes δt = 0), and ...
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Publisher Resources

ISBN: 9781466569980