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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. 
2 supplemental documents are available
Lagrangian Equation of Motion HomeworkHomework questions connected to the Lagrangian Equation of Motion Tutorials. download 101kb .pdf download 22kb .doc Published: February 4, 2010 Rights: Copyright, Grand Valley State University. Distributed under a modified share-back Creative Commons License, http://perlnet.umaine.edu/imt/license.htm
Lagrangian Equation of Motion TutorialTutorial materials download 195kb .pdf download 69kb .doc Published: February 4, 2010 Rights: Copyright, Physics Department, Grand Valley State University
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Record Link
<a href="https://psrc.aapt.org/items/detail.cfm?ID=9295">Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians. July 1, 2007.</a>
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 September 10, 2024, 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 10 September 2024).
MLA Format
Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians. 2005. 1 July 2007. National Science Foundation. 10 Sep. 2024 <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 = {2024},
Number = {10 September 2024},
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 2024 %N 10 September 2024 %8 July 1, 2007 %9 application/pdf %U http://faculty.gvsu.edu/ambroseb/research/IMT-GCLagr.html Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
Citation Source Information
The AIP Style presented is based on information from the AIP Style Manual. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians:
Is Part Of
Intermediate Mechanics Tutorials
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