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Dynamics of a Bead on a Rotating Hoop Model
written by Wolfgang Christian
A mass constrained to move on a rotating hoop is an excellent mechanical model of first- and second-order phase transitions.  Although the minimum of the potential energy curve corresponds to the bottom of the hoop at low rotation frequency, a spontaneous symmetry breaking (cusp catastrophe) occurs as the frequency is increased.  Although the equations governing these rotating hoop models can be understood using elementary mechanics, they can be used to illustrate advanced concepts such as symmetry breaking and phase transitions.

The Dynamics on a Rotating Hoop model was created 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_RotatingOffAxisHoop.jar file to run the program if Java is installed.

Please note that this resource requires at least version 1.5 of Java (JRE).
1 supplemental document is available
1 source code document is available
Subjects Levels Resource Types
Classical Mechanics
- General
- Newton's Second Law
= Accelerated Reference Frames
General Physics
- Computational Physics
- Upper Undergraduate
- Instructional Material
= Interactive Simulation
= Lecture/Presentation
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- Educators
- application/java
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© 2008 Wolfgang Christian
Keywords:
Lagrangian mechanics, dynamic equlibrium, effective potential energy, symmetry breaking
Record Creator:
Metadata instance created August 19, 2008 by Wolfgang Christian
Record Updated:
September 23, 2013 by Andreu Glasmann
Other Collections:

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Record Link
AIP Format
W. Christian, Computer Program DYNAMICS OF A BEAD ON A ROTATING HOOP MODEL (2008), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7890&DocID=667).
AJP/PRST-PER
W. Christian, Computer Program DYNAMICS OF A BEAD ON A ROTATING HOOP MODEL (2008), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7890&DocID=667>.
APA Format
Christian, W. (2008). Dynamics of a Bead on a Rotating Hoop Model [Computer software]. Retrieved December 16, 2017, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7890&DocID=667
Chicago Format
Christian, Wolfgang. "Dynamics of a Bead on a Rotating Hoop Model." https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7890&DocID=667 (accessed 16 December 2017).
MLA Format
Christian, Wolfgang. Dynamics of a Bead on a Rotating Hoop Model. Computer software. 2008. Java (JRE) 1.5. 16 Dec. 2017 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7890&DocID=667>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian", Title = {Dynamics of a Bead on a Rotating Hoop Model}, Year = {2008} }
Refer Export Format

%A Wolfgang Christian
%T Dynamics of a Bead on a Rotating Hoop Model
%D 2008
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7890&DocID=667
%O application/java

EndNote Export Format

%0 Computer Program
%A Christian, Wolfgang
%D 2008
%T Dynamics of a Bead on a Rotating Hoop Model
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7890&DocID=667


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Dynamics of a Bead on a Rotating Hoop Model:

Supplements Physlet Physics: Chapter 9: Reference Frames

The Dynamics of a Bead on a Rotating Hoop Model involves the notion of two reference frames, supplementing the material covered in Physlet Physics chapter 9.

relation by Andreu Glasmann

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