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written by Michael C. Wittmann and Bradley S. Ambrose
supported by the National Science Foundation
This set of tutorial materials covers the topic of simple harmonic motion in two dimensions. Students examine qualitatively and quantitatively the motion of a 2D harmonic oscillator, as exemplified by a mass attached to an ideal spring. There are two interactive spreadsheets to allow students to manipulate values and graphically see the results. Students alter phase angles and material constants to develop an understanding of the physical parameters in the problem. This material also includes a pretest, example homework, and test questions.

This is part of a large collection of similar tutorial materials in intermediate classical mechanics.
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View the supplemental documents attached to this resource (5)
Subjects Levels Resource Types
Classical Mechanics
- Applications of Newton's Laws
Oscillations & Waves
- Oscillations
= Simple Harmonic Motion
= Springs and Oscillators
- Upper Undergraduate
- Instructional Material
= Activity
= Lesson/Lesson Plan
= Unit of Instruction
- Audio/Visual
= Graph
Intended Users Formats Ratings
- Educators
- Learners
- application/pdf
- application/ms-excel
- application/ms-word
- text/html
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Access Rights:
Limited free access
Released under a modified Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License. By using any project materials, you agree to the user license. The user license includes sending Bradley S. Ambrose or Michael C. Wittmann an email notifying them that you are using the materials, re-publishing any modifications you make by sending them via email, and sending any pretest, homework, and post-test data as appropriate. Full details are available here.
License:
This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 license.
Rights Holder:
Bradley Ambrose and Michael Wittmann
NSF Numbers:
0441426
0442388
Keywords:
2-D oscillators, amplitudes, frequencies, harmonic oscillator, imt, isotropic oscillators, motion graph, non-isotropic oscillators, phase angle, phase difference, trajectories, two dimensions
Record Cloner:
Metadata instance created April 6, 2009 by Bryce Callies
Record Updated:
May 16, 2013 by Lyle Barbato
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-Osc1SHM%26NHM.html#2D).
AJP/PRST-PER
M. Wittmann and B. Ambrose, Intermediate Mechanics Tutorials: Harmonic motion in two dimensions (2005), <http://faculty.gvsu.edu/ambroseb/research/IMT-Osc1SHM%26NHM.html#2D>.
APA Format
Wittmann, M., & Ambrose, B. (2007, July 1). Intermediate Mechanics Tutorials: Harmonic motion in two dimensions. Retrieved April 23, 2014, from http://faculty.gvsu.edu/ambroseb/research/IMT-Osc1SHM%26NHM.html#2D
Chicago Format
Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Harmonic motion in two dimensions. July 1, 2007. http://faculty.gvsu.edu/ambroseb/research/IMT-Osc1SHM%26NHM.html#2D (accessed 23 April 2014).
MLA Format
Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Harmonic motion in two dimensions. 2005. 1 July 2007. National Science Foundation. 23 Apr. 2014 <http://faculty.gvsu.edu/ambroseb/research/IMT-Osc1SHM%26NHM.html#2D>.
BibTeX Export Format
@misc{ Author = "Michael Wittmann and Bradley S. Ambrose", Title = {Intermediate Mechanics Tutorials: Harmonic motion in two dimensions}, Volume = {2014}, Number = {23 April 2014}, Month = {July 1, 2007}, Year = {2005} }
Refer Export Format

%A Michael Wittmann
%A Bradley S. Ambrose
%T Intermediate Mechanics Tutorials: Harmonic motion in two dimensions
%D July 1, 2007
%U http://faculty.gvsu.edu/ambroseb/research/IMT-Osc1SHM%26NHM.html#2D
%O application/pdf

EndNote Export Format

%0 Electronic Source
%A Wittmann, Michael
%A Ambrose, Bradley S.
%D July 1, 2007
%T Intermediate Mechanics Tutorials: Harmonic motion in two dimensions
%V 2014
%N 23 April 2014
%8 July 1, 2007
%9 application/pdf
%U http://faculty.gvsu.edu/ambroseb/research/IMT-Osc1SHM%26NHM.html#2D


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