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

PRECESSION 41 lower end of the spool rises, as illustrated in Fig. 23. The same principle holds if the end next the performer is dipping; also if the spool is being spun left-handed; and a general rule AxZle / Am cte. / FIG. 22. could be formulated to the exclusion of all ideas of left- and right-handed by saying that the working end of the string must be moved so as (in imagination) to press down the rising end. Let us now suppose that it is required to make the Diabolo turn round to the right of the performer when it is being spun as in Fig. 22. It is clear that a torque applied by the strings about a vertical axis to the right, as viewed from above, will result in the near end \ dipping. A torque must be applied \ about a horizontal axis, and taking \. the rotation of Fig. 22, this torque ~ _H xon a~. ___ can be applied in the right "sense". by the performer dragging the spool a Axle ofX slightly towards him, or (without FIG. 23. moving the spool) by changing the point of support so as to make it slightly nearer to himself. If the spool is dragged from the under side it is advisable to extend the two strings at a large angle, as otherwise the dragging action will tend to depress the end nearest to the performer and thus produce the opposite effect to that aimed at. [9.] If the Diabolo is being spun left-handed, what is the effect caused by the performer (i) drawing in his right hand? (ii) drawing in both hands? (iii) drawing in his left hand when the end near him begins to dip? A discussion is given in Chapter IX., on a Diabolo which will not spin. [10.] In a motor-car the fly-wheels are mounted so that their axles are parallel to the direction and motion of the car. Supposing the fly-wheels

/ 160
Pages

Actions

file_download Download Options Download this page PDF - Pages 27-46 Image - Page 27 Plain Text - Page 27

About this Item

Title
An elementary treatment of the theory of spinning tops and gyroscopic motion, by Harold Crabtree.
Author
Crabtree, Harold.
Canvas
Page 27
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/abr4615.0001.001/55

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.