An elementary treatment of the theory of spinning tops and gyroscopic motion, by Harold Crabtree.
138 ANSWERS TO EXAMPLES 7. (a) By the internal stresses. (b) About a vertical axis in a direction which would turn the back wheel towards the centre of the curve, and the head of the machine outwards. (c) The reaction causes the back wheel to be turned away from the centre of the curve, and the head of the machine inwards, thus increasing the risk of skidding. (d) 80 =93 ft.-lbs. approximately. 27 CHAPTER VI. PAGE 95. 5. (A + 3ifa2) 2cosa- Co2 =(3M+M ')ag. (a) Yes; since their axes are merely translated and not rotated, it does not matter whether they are spinning or not. (b) No; the figure would become skew. 6. Cltol - (Ai + lMa2 + i124a2 +2ab) 22cos a = (l1 + 22)ag. GC2f02 -- (A2 + M2b2 + 2ab) q2 cos a = M2bg. (i) No. (ii) Yes. (iii) No. 7. The same way.
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About this Item
- Title
- An elementary treatment of the theory of spinning tops and gyroscopic motion, by Harold Crabtree.
- Author
- Crabtree, Harold.
- Canvas
- Page 127
- Publication
- London,: Longmans, Green, and co.,
- 1909.
- Subject terms
- Tops
- Gyroscopes
Technical Details
- Link to this Item
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https://name.umdl.umich.edu/abr4615.0001.001
- Link to this scan
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https://quod.lib.umich.edu/u/umhistmath/abr4615.0001.001/152
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Related Links
IIIF
- Manifest
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https://quod.lib.umich.edu/cgi/t/text/api/manifest/umhistmath:abr4615.0001.001
Cite this Item
- Full citation
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"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.