Table of Mechanics Demonstration

List of Mechanics Equipment & Supplies

Lecture Demonstrations

MITAC Gyroscope, 1Q50.30

Topic and Concept:

Location:

MITACgyro06-400.jpg

Abstract:

A commercially built motorized gyro on a gimbal includes counterweights.

Equipment

Location

ID Number

MITAC Gyroscope

ME, Bay A12, Shelf #1

Weights

ME, Bay A12, Shelf #1

Important Setup Notes:

Setup and Procedure:

  1. Place the MITAC gyroscope on the table and unlock all the retaining screws that hold the rings in place.
  2. Plug it in to a 110v outlet.
  3. Weights can be added to either end of the Axle "arrow" (ie. Axes of rotation) to show precession and/or nutation.

Cautions, Warnings, or Safety Concerns:

Discussion:

Once the flywheel is at full speed, it now has angular momentum which is a conserved quantity provided that there exists no external torque on the flywheel's rotating axes.

When one tries to perturb the rotational motion of the flywheel by moving the outer most ring & base, azimuthal angle, the Axle "arrow" or axis of rotation of the flywheel tends to remain stationary. If one tries to move the central ring or the axle of the flywheel, this well cause the flywheel to wobble and rotate. This wobbling motion is a combination of two effects: nutation and precession. Nutation is essentially a wobble of the axis of rotation toward and away from the original axis. Precession is the rotation of the new axis of rotation around the original axis. These are shown in the graphic below. One can add a weight to the rotational axle of the flywheel to enhance the precession and nutation effects.

MITACgyro01-250.jpg

MITACgyro02-250.jpg

MITACgyro03-250.jpg

MITACgyro04-250.jpg

MITACgyro05-250.jpg

MITACgyro07-250.jpg

MITACgyro08-250.jpg

MITACgyro09-250.jpg

MITACgyro10-250.jpg

MITACgyro11-250.jpg

MITACgyro12-250.jpg

MITACgyro13-250.jpg

MITACgyro14-250.jpg

MITACgyro15-250.jpg

MITACgyro16-250.jpg

MITACgyro17-250.jpg

MITACgyro18-250.jpg

MITACgyro19-250.jpg

MITACgyro20-250.jpg

precession_nutation-250.png

Videos:

References:

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