Rotation About A Fixed Axis Model

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written by Wolfgang Christian

The Rotation About a Fixed Axis example computes the angular momentum of a rigid rectangular box attached to a rotating axle. The fixed axis is in the z-direction. Users can tilt the box relative to the axle and can change the box dimensions. The simulation shows that the angular momentum vector L is not aligned with the the angular velocity vector unless the box is rotating about an axis parallel to a box edge. The simulation also shows the torque N that must be applied to the axle to maintain its fixed orientation. Additional windows display the frame-dependent tensor algebra in an inertial reference frame fixed in space and in a non-inertial reference frame attached to the rotating box with a rotation axis parallel to a box edge.

The Rotation About A Fixed Axle model was developed using the Easy Java Simulations (EJS) modeling tool. It is distributed as a ready-to-run (compiled) Java archive. Double clicking the ejs_csm_ch17_RotationAboutFixedAxis.jar file will run the program if Java is installed.

Please note that this resource requires at least version 1.5 of Java.

.jar

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Last Modified: June 12, 2014
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1 source code document is available

Subjects	Levels	Resource Types
Classical Mechanics - Rotational Dynamics = Moment of Inertia = Transfer of Angular Momentum	- Upper Undergraduate - Lower Undergraduate	- Instructional Material = Interactive Simulation

Intended Users	Formats	Ratings
- Learners - Educators	- application/java	Currently 0.0/5 Want to rate this material? Login here!

Access Rights:: Free access; Program released under GNU-GPL. Narrative is copyrighted.
License:: This material is released under a GNU General Public License Version 3 license.
Rights Holder:: Wolfgang Christian
PACSs:: 45.40.-f; 45.20.da; 45.20.dc
Keyword:: rigid body
Record Cloner:: Metadata instance created April 1, 2011 by Wolfgang Christian
Record Updated:: June 12, 2014 by Andreu Glasmann
Last Update when Cataloged:: March 1, 2011
Other Collections:: The Open Source Physics

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AAAS Benchmark Alignments (2008 Version)

4. The Physical Setting

4E. Energy Transformations

6-8: 4E/M4. Energy appears in different forms and can be transformed within a system. Motion energy is associated with the speed of an object. Thermal energy is associated with the temperature of an object. Gravitational energy is associated with the height of an object above a reference point. Elastic energy is associated with the stretching or compressing of an elastic object. Chemical energy is associated with the composition of a substance. Electrical energy is associated with an electric current in a circuit. Light energy is associated with the frequency of electromagnetic waves.

AAAS Benchmark Alignments (1993 Version)

4. THE PHYSICAL SETTING

E. Energy Transformations

4E (9-12) #2. Heat energy in a material consists of the disordered motions of its atoms or molecules. In any interactions of atoms or molecules, the statistical odds are that they will end up with less order than they began?that is, with the heat energy spread out more evenly. With huge numbers of atoms and molecules, the greater disorder is almost certain.

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Record Link

<a href="https://www.compadre.org/portal/items/detail.cfm?ID=11133">Christian, Wolfgang. "Rotation About A Fixed Axis Model." Version 1.0.</a>

AIP Format

W. Christian, Computer Program ROTATION ABOUT A FIXED AXIS MODEL, Version 1.0 (2011), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11133&DocID=2221).

AJP/PRST-PER

W. Christian, Computer Program ROTATION ABOUT A FIXED AXIS MODEL, Version 1.0 (2011), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11133&DocID=2221>.

APA Format

Christian, W. (2011). Rotation About A Fixed Axis Model (Version 1.0) [Computer software]. Retrieved September 16, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11133&DocID=2221

Chicago Format

Christian, Wolfgang. "Rotation About A Fixed Axis Model." Version 1.0. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11133&DocID=2221 (accessed 16 September 2024).

MLA Format

Christian, Wolfgang. Rotation About A Fixed Axis Model. Vers. 1.0. Computer software. 2011. Java 1.5. 16 Sep. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11133&DocID=2221>.

BibTeX Export Format

@misc{ Author = "Wolfgang Christian", Title = {Rotation About A Fixed Axis Model}, Month = {March}, Year = {2011} }

Refer Export Format

%A Wolfgang Christian %T Rotation About A Fixed Axis Model %D March 1, 2011 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11133&DocID=2221 %O 1.0 %O application/java

EndNote Export Format

%0 Computer Program %A Christian, Wolfgang %D March 1, 2011 %T Rotation About A Fixed Axis Model %7 1.0 %8 March 1, 2011 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11133&DocID=2221

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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.

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