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.
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![]() <a href="https://www.compadre.org/portal/items/detail.cfm?ID=9295">Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians. July 1, 2007.</a>
![]() M. Wittmann and B. Ambrose, (2005), WWW Document, (https://faculty.gvsu.edu/ambroseb/research/IMT-GCLagr.html).
![]() M. Wittmann and B. Ambrose, Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians (2005), <https://faculty.gvsu.edu/ambroseb/research/IMT-GCLagr.html>.
![]() Wittmann, M., & Ambrose, B. (2007, July 1). Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians. Retrieved May 1, 2025, from https://faculty.gvsu.edu/ambroseb/research/IMT-GCLagr.html
![]() Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians. July 1, 2007. https://faculty.gvsu.edu/ambroseb/research/IMT-GCLagr.html (accessed 1 May 2025).
![]() Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians. 2005. 1 July 2007. National Science Foundation. 1 May 2025 <https://faculty.gvsu.edu/ambroseb/research/IMT-GCLagr.html>.
![]() @misc{
Author = "Michael Wittmann and Bradley S. Ambrose",
Title = {Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians},
Volume = {2025},
Number = {1 May 2025},
Month = {July 1, 2007},
Year = {2005}
}
![]() %A Michael Wittmann %A Bradley S. Ambrose %T Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians %D July 1, 2007 %U https://faculty.gvsu.edu/ambroseb/research/IMT-GCLagr.html %O application/pdf ![]() %0 Electronic Source %A Wittmann, Michael %A Ambrose, Bradley S. %D July 1, 2007 %T Intermediate Mechanics Tutorials: Generalized Coordinates and Lagrangians %V 2025 %N 1 May 2025 %8 July 1, 2007 %9 application/pdf %U https://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.
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Intermediate Mechanics Tutorials
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