The Block and Spring on an Inclined Plane model shows the dynamics of a mass-spring system sliding on an inclined plane with static and kinetic friction. It is a supplemental simulation for "Damped oscillations and equilibrium in a mass-spring system subject to sliding friction forces" in the American Journal of Physics 78(11), 1120-1127 (2010) by P. Onorato, D. Mascoli, and A. DeAmbrosis and has been approved by the authors and the American Journal of Physics (AJP) editor.
The model displays the numerical solution to the equations of motion and shows how the forces change as the mass slides. Users can set the coefficients of friction and the spring constant. The model plots the position, velocity, and net force on the mass as a function of time as the system evolves and in order to show the asymmetry caused by the change in direction of the frictional force when sliding up and down the incline and the importance of friction in establishing equilibrium.
The Block and Spring on an Inclined Plane 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_newton_BlockAndSpringOnInclinedPlane.jar file will run the program if Java is installed.
Please note that this resource requires
at least version 1.5 of Java.
Block and Spring on an Inclined Plane Source Code
The source code zip archive contains an XML representation of the Block and Spring on an Inclined Plane model. Unzip this archive in your EJS workspace to compile and run this model using EJS. download 17kb .zip
Last Modified: June 10, 2010
W. Christian, Computer Program BLOCK AND SPRING ON AN INCLINED PLANE MODEL, Version 1.0 (2010), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10081&DocID=1689).
W. Christian, Computer Program BLOCK AND SPRING ON AN INCLINED PLANE MODEL, Version 1.0 (2010), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10081&DocID=1689>.
Christian, W. (2010). Block and Spring on an Inclined Plane Model (Version 1.0) [Computer software]. Retrieved December 2, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10081&DocID=1689
Christian, Wolfgang. "Block and Spring on an Inclined Plane Model." Version 1.0. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10081&DocID=1689 (accessed 2 December 2024).
%A Wolfgang Christian %T Block and Spring on an Inclined Plane Model %D June 10, 2010 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10081&DocID=1689 %O 1.0 %O application/java
%0 Computer Program %A Christian, Wolfgang %D June 10, 2010 %T Block and Spring on an Inclined Plane Model %7 1.0 %8 June 10, 2010 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10081&DocID=1689
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The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Block and Spring on an Inclined Plane Model.
changes by lookang include: relayout and customize to simple harmonic motion model on a horizontal plane. _view.drawingPanel.setAntialiasShapeOn(true); _view.drawingPanel.setAntialiasTextOn(true); if(v > 0) direction=-1; // bug removed by lookang else if (v < 0) direction =1; // bug removed by lookang