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
Rotation About A Fixed Axis Source Code
The source code zip archive contains an XML representation of the Rotation About A Fixed Axis Model. Unzip this archive in your EJS workspace to compile and run this model using EJS.
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.
Christian, W. (2011). Rotation About A Fixed Axis Model (Version 1.0) [Computer software]. Retrieved December 7, 2013, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11133&DocID=2221
%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 http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11133&DocID=2221
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