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written by Wolfgang Christian
The Rocking Semicircular Hoop model shows the dynamics of a simple object rocking without slipping on a horizontal surface.  It is a supplemental simulation for an article by Leaf Turner and Ari Turner in the American Journal of Physics (AJP).  

The object, a semicircular hoop with radius R, is acted on by gravitational, frictional, and normal forces.   Although the system executes simple harmonic motion at small angles, its large angle oscillations are nonlinear.  The angular acceleration for the semicircular hoop can be derived through Lagrangian dynamics or by computing the torque about the point of contact.  The paper by Turner and Turner derives the equation of motion from an analysis of the torque and the Rocking Semicircular Hoop model displays the numerical solution and shows how the forces and torques evolve in time.

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
- Rotational Dynamics
= Moment of Inertia
- Upper Undergraduate
- Middle School
- High School
- Lower Undergraduate
- Instructional Material
= Interactive Simulation
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- 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:
torque
Record Cloner:
Metadata instance created May 26, 2010 by Wolfgang Christian
Record Updated:
June 12, 2014 by Andreu Glasmann
Last Update
when Cataloged:
May 26, 2010
Other Collections:

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Record Link
AIP Format
W. Christian, Computer Program ROCKING SEMICIRCULAR HOOP MODEL, Version 1.0 (2010), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10046&DocID=1661).
AJP/PRST-PER
W. Christian, Computer Program ROCKING SEMICIRCULAR HOOP MODEL, Version 1.0 (2010), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10046&DocID=1661>.
APA Format
Christian, W. (2010). Rocking Semicircular Hoop Model (Version 1.0) [Computer software]. Retrieved September 22, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10046&DocID=1661
Chicago Format
Christian, Wolfgang. "Rocking Semicircular Hoop Model." Version 1.0. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10046&DocID=1661 (accessed 22 September 2014).
MLA Format
Christian, Wolfgang. Rocking Semicircular Hoop Model. Vers. 1.0. Computer software. 2010. Java 1.5. 22 Sep. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10046&DocID=1661>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian", Title = {Rocking Semicircular Hoop Model}, Month = {May}, Year = {2010} }
Refer Export Format

%A Wolfgang Christian
%T Rocking Semicircular Hoop Model
%D May 26, 2010
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10046&DocID=1661
%O 1.0
%O application/java

EndNote Export Format

%0 Computer Program
%A Christian, Wolfgang
%D May 26, 2010
%T Rocking Semicircular Hoop Model
%7 1.0
%8 May 26, 2010
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10046&DocID=1661


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The AIP Style presented is based on information from the AIP Style Manual.

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Rocking Semicircular Hoop 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 Rocking Semicircular Hoop Model.

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