This ComPADRE record has not been chosen for inclusion into the Physics Source collection.
If you feel this record should be included, you may contact the editor using our feedback form.
Rocking Semicircular Hoop Model
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
Rocking Semicircular Hoop Source Code
The source code zip archive contains an XML representation of the Rocking Semicircular Hoop model. Unzip this archive in your EJS workspace to compile and run this model using EJS. download 33kb .zip
Last Modified: August 14, 2010
%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
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.