Jump to ContentJump to Main Navigation
Analytical Mechanics for Relativity and Quantum Mechanics$
Users without a subscription are not able to see the full content.

Oliver Johns

Print publication date: 2011

Print ISBN-13: 9780191001628

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780191001628.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 08 March 2021

Lagrangian Theory of Constraints

Lagrangian Theory of Constraints

(p.46) 3 Lagrangian Theory of Constraints
Analytical Mechanics for Relativity and Quantum Mechanics

Oliver Davis Johns

Oxford University Press

This chapter discusses how easy the Lagrangian method solves so-called constraint problems. Presented here are different methods of solving such problems, with corresponding examples. Constraints can be incorporated into the Lagrangian method in a particularly convenient way; if the constraints are idealised – such as frictionless surfaces or perfectly rigid bodies – then the equations of motion can be solved without knowing the forces of constraint. Also, the number of degrees of freedom of the Lagrangian system can be reduced by one for each constraint applied. The chapter also defines constraints, beginning with holonomic ones, which are the simplest class of constraints. A constraint is holonomic if it can be represented by a single function of the generalised coordinates, equated to zero.

Keywords:   constraint problems, Lagrangian method, frictionless surfaces, perfectly rigid bodies, forces of constraint

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .