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Rocking Semicircular Hoop Model
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  "Asymmetric rolling bodies and the phantom torque" in the Am. J. Phys. 78, 905 (2010).

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.

The Rocking Semicircular Hoop model was created using the Easy Java Simulations (EJS) modeling tool.  It is distributed as a ready-to-run (compiled) Java archive.  Double clicking the ejs_mech_lagrangian_RockingSemicircularHoop.jar file will run the program if Java is installed.

Please note that this resource requires at least version 1.5 of Java.
1 source code document is available
Subjects Levels Resource Types
Classical Mechanics
- General
- Newton's Second Law
= Force, Acceleration
- Rotational Dynamics
= Moment of Inertia
- Upper Undergraduate
- Lower Undergraduate
- Middle School
- High School
- Instructional Material
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
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Access Rights:
Free access
This material is released under a GNU General Public License Version 3 license. Additional information is available.
Rights Holder:
Wolfgang Christian
Record Cloner:
Metadata instance created May 26, 2010 by Wolfgang Christian
Record Updated:
July 2, 2020 by Bruce Mason
Last Update
when Cataloged:
May 26, 2010
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Record Link
AIP Format
W. Christian, Computer Program ROCKING SEMICIRCULAR HOOP MODEL, Version 1.0 (2010), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10046&DocID=1661).
W. Christian, Computer Program ROCKING SEMICIRCULAR HOOP MODEL, Version 1.0 (2010), <https://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 July 16, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10046&DocID=1661
Chicago Format
Christian, Wolfgang. "Rocking Semicircular Hoop Model." Version 1.0. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10046&DocID=1661 (accessed 16 July 2024).
MLA Format
Christian, Wolfgang. Rocking Semicircular Hoop Model. Vers. 1.0. Computer software. 2010. Java 1.5. 16 July 2024 <https://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 https://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 https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10046&DocID=1661

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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.

relation by Wolfgang Christian

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