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written by Michael C. Wittmann and Bradley S. Ambrose
supported by the National Science Foundation
This set of tutorial materials explores the development and use of generalized coordinates and the Lagrangian in classical mechanics. Students explore the development and utility of using general coordinates to describe physical problems with constraints. They analyze a basic physics problem using a Newtonian notation, then using the Lagrangian, and then compare the two. This material includes a tutorial and example homework.

This is part of a large collection of similar tutorial materials in intermediate classical mechanics.
View the supplemental documents attached to this resource (2)
Subjects Levels Resource Types
Classical Mechanics
- Applications of Newton's Laws
- General
- Upper Undergraduate
- Instructional Material
= Activity
= Lesson/Lesson Plan
= Unit of Instruction
Intended Users Formats Ratings
- Learners
- Educators
- application/pdf
- application/ms-word
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Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 license. Additional information is available.
Rights Holder:
Bradley Ambrose and Michael Wittmann
NSF Numbers:
0441426
0442388
Keywords:
Lagrangian mechanics, coordinate constraints, generalized coordinate, problem solving strategy
Record Cloner:
Metadata instance created July 24, 2009 by Bryce Callies
Record Updated:
June 23, 2015 by Bruce Mason
Last Update
when Cataloged:
July 1, 2007
ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
M. Wittmann and B. Ambrose, (2005), WWW Document, (http://faculty.gvsu.edu/ambroseb/research/IMT-GCLagr.html).
AJP/PRST-PER
M. Wittmann and B. Ambrose, Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians, (2005), <http://faculty.gvsu.edu/ambroseb/research/IMT-GCLagr.html>.
APA Format
Wittmann, M., & Ambrose, B. (2007, July 1). Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians. Retrieved July 1, 2015, from http://faculty.gvsu.edu/ambroseb/research/IMT-GCLagr.html
Chicago Format
Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians. July 1, 2007. http://faculty.gvsu.edu/ambroseb/research/IMT-GCLagr.html (accessed 1 July 2015).
MLA Format
Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians. 2005. 1 July 2007. National Science Foundation. 1 July 2015 <http://faculty.gvsu.edu/ambroseb/research/IMT-GCLagr.html>.
BibTeX Export Format
@misc{ Author = "Michael Wittmann and Bradley S. Ambrose", Title = {Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians}, Volume = {2015}, Number = {1 July 2015}, Month = {July 1, 2007}, Year = {2005} }
Refer Export Format

%A Michael Wittmann
%A Bradley S. Ambrose
%T Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians
%D July 1, 2007
%U http://faculty.gvsu.edu/ambroseb/research/IMT-GCLagr.html
%O application/pdf

EndNote Export Format

%0 Electronic Source
%A Wittmann, Michael
%A Ambrose, Bradley S.
%D July 1, 2007
%T Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians
%V 2015
%N 1 July 2015
%8 July 1, 2007
%9 application/pdf
%U http://faculty.gvsu.edu/ambroseb/research/IMT-GCLagr.html


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