Abstract
Let us consider a system of bodies having an arbitrary configuration and connected in any manner but without any fixity or obstacle hindering their motion. It is evident in this case that the constraints of the system can only depend upon the relative positions of the bodies. Consequently, the equations of condition can only contain functions of the coordinates which define the relative distances between the bodies. This consideration furnishes general independent equations for the motion of the system which depend on the nature of the system and which are analogous to those we found for the equilibrium of a system in the first paragraph of SECTION III of PART I.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Lagrange, J.L. (1997). General Properties of Motion Deduced from the Preceding Formula. In: Boissonnade, A., Vagliente, V.N. (eds) Analytical Mechanics. Boston Studies in the Philosophy of Science, vol 191. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8903-1_11
Download citation
DOI: https://doi.org/10.1007/978-94-015-8903-1_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4779-3
Online ISBN: 978-94-015-8903-1
eBook Packages: Springer Book Archive