Bead on a Hyperbolic Tangent Model
written by
Thomas Bensky and
Matthew Moelter
The Bead on a Hyperbolic Tangent model computes the dynamics if a bead constrained to slide on a hyperbolic tangent shaped wire. The model uses an Euler algorithm to evolve the system and it displays the velocity, acceleration, and normal force vectors as the bead slides along the wire. Separate graphs show the energy and force components. The goal of this teaching model is to find the proper acceleration that will guide a particle along an arbitrary single valued function, y=f(x)--in other words, to simulate the classic "bead on a wire." Although there are many methods for doing this, the focus of this work to keep the theory and procedures within the realm of freshman physics. The origins of this work are from an ongoing effort to add computation, in the form of computer animation projects, to the freshman mechanics course. This work is descdribed in the American Journal of Physics (AJP) publication "Computational problems in introductory physics: lessons from a bead on a wire," by T. Bensky and M. Moelter.
The Bead on a Hyperbolic Tangent model was developed using the Easy Java Simulations (EJS) modeling tool. It is distributed as a ready-to-run (compiled) Java archive. Double clicking the jar file will run the program if Java is installed. Please note that this resource requires at least version 1.6 of Java.
View the source code document attached to this resource
Bead on a Hyperbolic Tangent Source Code
The source code zip archive contains an XML representation of the Bead on a Hyperbolic Tangent Model. Unzip this archive in your EJS workspace to compile and… more... download 17kb .zip Last Modified: December 17, 2012
AAAS Benchmark Alignments (2008 Version)4. The Physical Setting
4E. Energy Transformations
AAAS Benchmark Alignments (1993 Version)4. THE PHYSICAL SETTING
E. Energy Transformations
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Record Link
<a href="http://www.compadre.org/portal/items/detail.cfm?ID=12531">Bensky, Thomas, and Matthew Moelter. "Bead on a Hyperbolic Tangent Model." Version 1.0.</a>
AIP Format
T. Bensky and M. Moelter, Computer Program BEAD ON A HYPERBOLIC TANGENT MODEL, Version 1.0 (2012), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12531&DocID=3152).
AJP/PRST-PER
T. Bensky and M. Moelter, Computer Program BEAD ON A HYPERBOLIC TANGENT MODEL, Version 1.0 (2012), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12531&DocID=3152>.
APA Format
Bensky, T., & Moelter, M. (2012). Bead on a Hyperbolic Tangent Model (Version 1.0) [Computer software]. Retrieved July 31, 2015, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12531&DocID=3152
Chicago Format
Bensky, Thomas, and Matthew Moelter. "Bead on a Hyperbolic Tangent Model." Version 1.0. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12531&DocID=3152 (accessed 31 July 2015).
MLA Format
Bensky, Thomas, and Matthew Moelter. Bead on a Hyperbolic Tangent Model. Vers. 1.0. Computer software. 2012. Java 1.6. 31 July 2015 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12531&DocID=3152>.
BibTeX Export Format
@misc{
Author = "Thomas Bensky and Matthew Moelter",
Title = {Bead on a Hyperbolic Tangent Model},
Month = {December},
Year = {2012}
}
Refer Export Format
%A Thomas Bensky
EndNote Export Format
%0 Computer Program 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. Bead on a Hyperbolic Tangent Model:
Is Based On
Easy Java Simulations Modeling and Authoring Tool
The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Bead on a Hyperbolic Tangent Model. relation by Wolfgang ChristianKnow of another related resource? Login to relate this resource to it. |
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