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written by Wolfgang Christian
The Falling U-shaped Chain model simulates the dynamics of a discrete falling chain with total length L and n links. Each link is acted on by the force of gravity mg and by the link-link interaction.  A freely falling object is released near the last link for comparison.  The surprise is that the acceleration of the last link can  be larger than g.
 
Links in the model are assumed to be uniform rigid rods with mass m and length L/n connected by ideal joints.  The first link is attached to a fixed point and the last link is releases a distance D from the fixed point.  A small damping coefficient b is included to allow the chain to equilibrate to its hanging position below the fixed point.

The Falling U-shaped Chain model is a supplemental simulation for the article "A chain that speeds up, rather than slows, due to collisions: How compression can cause tension " by Anoop Grewal, Phillip Johnson, and Andy Ruina in the American Journal of Physics 79(7), 723-729 (2011) and has been approved by the authors and the American Journal of Physics (AJP) editor.  The simulation was developed using the Easy Java Simulations (EJS) modeling tool.  It is distributed as a ready-to-run (compiled) Java archive.  Double click the ejs_mech_lagrangian_FallingUShapedChain.jar file to run the program if Java is installed.

Please note that this resource requires at least version 1.5 of Java.
View the source code document attached to this resource
Subjects Levels Resource Types
Classical Mechanics
- General
- Newton's Second Law
= Force, Acceleration
- Upper Undergraduate
- Middle School
- High School
- Lower Undergraduate
- Instructional Material
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
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Access Rights:
Free access
License:
This material is released under a GNU General Public License Version 3 license. Additional information is available.
Rights Holder:
Wolfgang Christian
Keyword:
lagrangian dynamics
Record Cloner:
Metadata instance created March 25, 2011 by Wolfgang Christian
Record Updated:
June 6, 2014 by Andreu Glasmann
Last Update
when Cataloged:
March 25, 2011
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Record Link
AIP Format
W. Christian, Computer Program FALLING U-SHAPED CHAIN MODEL, Version 1.0 (2011), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11056&DocID=2217).
AJP/PRST-PER
W. Christian, Computer Program FALLING U-SHAPED CHAIN MODEL, Version 1.0 (2011), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11056&DocID=2217>.
APA Format
Christian, W. (2011). Falling U-shaped Chain Model (Version 1.0) [Computer software]. Retrieved October 30, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11056&DocID=2217
Chicago Format
Christian, Wolfgang. "Falling U-shaped Chain Model." Version 1.0. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11056&DocID=2217 (accessed 30 October 2014).
MLA Format
Christian, Wolfgang. Falling U-shaped Chain Model. Vers. 1.0. Computer software. 2011. Java 1.5. 30 Oct. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11056&DocID=2217>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian", Title = {Falling U-shaped Chain Model}, Month = {March}, Year = {2011} }
Refer Export Format

%A Wolfgang Christian
%T Falling U-shaped Chain Model
%D March 25, 2011
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11056&DocID=2217
%O 1.0
%O application/java

EndNote Export Format

%0 Computer Program
%A Christian, Wolfgang
%D March 25, 2011
%T Falling U-shaped Chain Model
%7 1.0
%8 March 25, 2011
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11056&DocID=2217


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Falling U-shaped Chain 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 Falling U-Shaped Chain Model.

relation by Wolfgang Christian
Supplements Falling Chain Website

Videos and supplemental material for AJP paper by Anoop Grewal, Phillip Johnson, and Andy Ruina.

relation by Wolfgang Christian

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