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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).
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Record Link
<a href="https://www.compadre.org/portal/items/detail.cfm?ID=7890">Christian, Wolfgang. "Dynamics of a Bead on a Rotating Hoop Model."</a>
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 May 2, 2025, 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 2 May 2025).
MLA Format
Christian, Wolfgang. Dynamics of a Bead on a Rotating Hoop Model. Computer software. 2008. Java (JRE) 1.5. 2 May 2025 <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 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. This resource is stored in 3 shared folders. You must login to access shared folders. 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 GlasmannKnow of another related resource? Login to relate this resource to it. |
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