Boston University Physics: Connection between Circular and Simple Harmonic Motion Model
written by
Andrew Duffy
This computer model shows the the connection between uniform circular motion and simple harmonic motion by animating the movement of two spring/mass systems. Users can set amplitude, mass, and spring constant so the blocks have different angular frequencies. As the block/spring system moves, watch what happens to the corresponding circular motion animation. This connection is one way to justify the basic equation of motion for an object experiencing simple harmonic motion. This equation also corresponds to one dimension of uniform circular motion. In this simulation, the author goes beyond the equation to explore the phase angle. There are analogous equations for the velocity and the acceleration as a function of time.
The Connection between Circular and Simple Harmonic Motion 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_bu_reference_circle.jar file will run the program if Java is installed. Please note that this resource requires at least version 1.5 of Java (JRE).
1 source code document is available
Connection between Circular and Simple Harmonic Motion Source Code
The source code zip archive contains an XML representation of the Connection between Circular and Simple Harmonic Motion model. Unzip this archive in your EJS workspace to compile and run this model using EJS. download 6kb .zip Published: April 27, 2010 previous versions
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Record Link
<a href="https://www.compadre.org/portal/items/detail.cfm?ID=10014">Duffy, Andrew. "Boston University Physics: Connection between Circular and Simple Harmonic Motion Model."</a>
AIP Format
A. Duffy, Computer Program BOSTON UNIVERSITY PHYSICS: CONNECTION BETWEEN CIRCULAR AND SIMPLE HARMONIC MOTION MODEL (2010), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10014&DocID=1651).
AJP/PRST-PER
A. Duffy, Computer Program BOSTON UNIVERSITY PHYSICS: CONNECTION BETWEEN CIRCULAR AND SIMPLE HARMONIC MOTION MODEL (2010), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10014&DocID=1651>.
APA Format
Duffy, A. (2010). Boston University Physics: Connection between Circular and Simple Harmonic Motion Model [Computer software]. Retrieved October 21, 2017, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10014&DocID=1651
Chicago Format
Duffy, Andrew. "Boston University Physics: Connection between Circular and Simple Harmonic Motion Model." https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10014&DocID=1651 (accessed 21 October 2017).
MLA Format
Duffy, Andrew. Boston University Physics: Connection between Circular and Simple Harmonic Motion Model. Computer software. 2010. Java (JRE) 1.5. 21 Oct. 2017 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10014&DocID=1651>.
BibTeX Export Format
@misc{
Author = "Andrew Duffy",
Title = {Boston University Physics: Connection between Circular and Simple Harmonic Motion Model},
Month = {April},
Year = {2010}
}
Refer Export Format
%A Andrew Duffy
EndNote Export Format
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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 5 shared folders. You must login to access shared folders. Boston University Physics: Connection between Circular and Simple Harmonic Motion 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 Connection between Circular and Simple Harmonic Motion. relation by Mario Belloni
Is a Teaching Guide For
Physics Classroom: Properties of Periodic Motion
Is a Teaching Guide For
Physics Classroom: Motion of a Mass on a Spring
Is a Teaching Guide For
Physics Classroom: Vibrational Motion
Is Supplemented By
Boston University: Simple Harmonic Motion Lecture Notes
Background information on SHM and uniform circular motion, also by the author of the Connection Between Circular and Simple Harmonic Motion computer model. relation by Caroline HallKnow of another related resource? Login to relate this resource to it. |
SupplementsContributeRelated Materials
Is Based On
Easy Java Simulations Modeling and Authoring Tool Is a Teaching Guide ForPhysics Classroom: Properties of Periodic Motion Is a Teaching Guide ForSimilar Materials |