An elementary treatment of the theory of spinning tops and gyroscopic motion, by Harold Crabtree.

72 PRACTICAL APPLICATIONS Now let us consider what happens as the vehicle rounds a corner to the right, say. As the vehicle turns, the gyrostat maintains its plane of rotation unaltered in direction, and is thus, relative to the car, displaced out of its central position in the plane FCD. To obviate this displacement, Mr. Brennan makes use of a second gyrostat exactly similar to AB, mounted (preferably) in the same plane on a parallel axle, but rotating in the opposite direction; and the carriers of the two gyrostats are connected by means of gearing, so that the rotation of one carrier in one direction ensures a corresponding rotation of the other carrier in the opposite direction. The movements of the carriers are then controlled as before by a lever or other suitable means. The gyrostat to which the device for accelerating precession is fixed is called the actuating gyrostat. Both are made to rotate in vacuo; otherwise the resistance of the air at the necessary high speed of rotation would be extremely great. It will be noticed that the above principles apply whether the car be moving backwards or forwards: also that the centre of gravity of the vehicle can be made to move laterally in relation to the axis of support without bringing gyroscopic action into play, and thus the car is enabled to move round a curve while maintaining a vertical position. 73. In order to illustrate the stability of Mr. Brennan's car, Messrs. Newton of Fleet Street, London, make a gyroscope HWZ B A - -Y Di E3 Fic. 34. mounted as in Fig. 34, which will be seen to be virtually the same as a model of the invention in its simplest form, Fig. 33. In Fig. 34 an addition has been made to what (at the time of writing) is actually sold by Messrs. Newton, suggested by

/ 160
Pages

Actions

file_download Download Options Download this page PDF - Pages 67-86 Image - Page 67 Plain Text - Page 67

About this Item

Title
An elementary treatment of the theory of spinning tops and gyroscopic motion, by Harold Crabtree.
Author
Crabtree, Harold.
Canvas
Page 67
Publication
London,: Longmans, Green, and co.,
1909.
Subject terms
Tops
Gyroscopes

Technical Details

Link to this Item
https://name.umdl.umich.edu/abr4615.0001.001
Link to this scan
https://quod.lib.umich.edu/u/umhistmath/abr4615.0001.001/86

Rights and Permissions

The University of Michigan Library provides access to these materials for educational and research purposes. These materials are in the public domain in the United States. If you have questions about the collection, please contact Historical Mathematics Digital Collection Help at [email protected]. If you have concerns about the inclusion of an item in this collection, please contact Library Information Technology at [email protected].

DPLA Rights Statement: No Copyright - United States

Manifest
https://quod.lib.umich.edu/cgi/t/text/api/manifest/umhistmath:abr4615.0001.001

Cite this Item

Full citation
"An elementary treatment of the theory of spinning tops and gyroscopic motion, by Harold Crabtree." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/abr4615.0001.001. University of Michigan Library Digital Collections. Accessed April 30, 2025.
Do you have questions about this content? Need to report a problem? Please contact us.