An elementary treatment of the theory of spinning tops and gyroscopic motion, by Harold Crabtree.
Annotations Tools
10 INTRODUCTORY CHAPTER Scientifically constructed Gyroscope. Fig. xxII. represents a scientifically made instrument.* The wheel AB which has (for its size) a very heavy rim, is free to spin about its axle XX', while the frame in which this axle is mounted can turn about the axis YY. Finally, the frame in which YY' is mounted can turn about the vertical pedestal ZZ', but at Z there is a screw which can be tightened to prevent this turning. H^s<AFIG. XXII. Experiment 1. Suppose now that the wheel is free to turn about all three axes, and that friction is so slight as to be negligible. Let a good spin be given to the wheel in the direction marked, and let a weight be suspended at X. It will be found that, instead of the wheel tilting about Y'Y, it will turn about ZZ' in the direction indicated. But if the screw at Z is tightened the revolving wheel will at once turn over about Y' Y. If, when the wheel is free to turn about all three axes, we apply at X a force which is more easily removed than the weight, such as the pressure of a finger, it will be found that, when the rate of spin is small, the wheel will tilt about Y'Y appreciably, and on the finger being removed the whole system will oscillate violently. If, however, the rate of spin is large, only a very small tilting, if any, will be appreciable, while on the removal of the finger the violent oscillations observed previously are now hardly more than a " shiver" of the axle. *The gyroscope here depicted is known as Wheatstone's Compound, and can be procured of Newton & Co., at the cost of 3 guineas.
-
Scan #1
Page #1
-
Scan #2
Page #2
-
Scan #3
Page #3 - Title Page
-
Scan #4
Page #4
-
Scan #5
Page #5 - Title Page
-
Scan #6
Page #6
-
Scan #7
Page #7
-
Scan #8
Page #8
-
Scan #9
Page VII
-
Scan #10
Page VIII
-
Scan #11
Page IX - Table of Contents
-
Scan #12
Page X - Table of Contents
-
Scan #13
Page XI - Table of Contents
-
Scan #14
Page XII - Table of Contents
-
Scan #15
Page 1
-
Scan #16
Page 2
-
Scan #17
Page 3
-
Scan #18
Page 4
-
Scan #19
Page 5
-
Scan #20
Page 6
-
Scan #21
Page 7
-
Scan #22
Page 8
-
Scan #23
Page 9
-
Scan #24
Page 10
-
Scan #25
Page 11
-
Scan #26
Page 12
-
Scan #27
Page 13
-
Scan #28
Page 14
-
Scan #29
Page 15
-
Scan #30
Page 16
-
Scan #31
Page 17
-
Scan #32
Page 18
-
Scan #33
Page 19
-
Scan #34
Page 20
-
Scan #35
Page 21
-
Scan #36
Page 22
-
Scan #37
Page 23
-
Scan #38
Page 24
-
Scan #39
Page 25
-
Scan #40
Page 26
-
Scan #41
Page 27
-
Scan #42
Page 28
-
Scan #43
Page 29
-
Scan #44
Page 30
-
Scan #45
Page 31
-
Scan #46
Page 32
-
Scan #47
Page 33
-
Scan #48
Page 34
-
Scan #49
Page 35
-
Scan #50
Page 36
-
Scan #51
Page 37
-
Scan #52
Page 38
-
Scan #53
Page 39
-
Scan #54
Page 40
-
Scan #55
Page 41
-
Scan #56
Page 42
-
Scan #57
Page 43
-
Scan #58
Page 44
-
Scan #59
Page 45
-
Scan #60
Page 46
-
Scan #61
Page 47
-
Scan #62
Page 48
-
Scan #63
Page 49
-
Scan #64
Page 50
-
Scan #65
Page 51
-
Scan #66
Page 52
-
Scan #67
Page 53
-
Scan #68
Page 54
-
Scan #69
Page 55
-
Scan #70
Page 56
-
Scan #71
Page 57
-
Scan #72
Page 58
-
Scan #73
Page 59
-
Scan #74
Page 60
-
Scan #75
Page 61
-
Scan #76
Page 62
-
Scan #77
Page 63
-
Scan #78
Page 64
-
Scan #79
Page 65
-
Scan #80
Page 66
-
Scan #81
Page 67
-
Scan #82
Page 68
-
Scan #83
Page 69
-
Scan #84
Page 70
-
Scan #85
Page 71
-
Scan #86
Page 72
-
Scan #87
Page 73
-
Scan #88
Page 74
-
Scan #89
Page 75
-
Scan #90
Page 76
-
Scan #91
Page 77
-
Scan #92
Page 78
-
Scan #93
Page 79
-
Scan #94
Page 80
-
Scan #95
Page 81
-
Scan #96
Page 82
-
Scan #97
Page 83
-
Scan #98
Page 84
-
Scan #99
Page 85
-
Scan #100
Page 86
-
Scan #101
Page 87
-
Scan #102
Page 88
-
Scan #103
Page 89
-
Scan #104
Page 90
-
Scan #105
Page 91
-
Scan #106
Page 92
-
Scan #107
Page 93
-
Scan #108
Page 94
-
Scan #109
Page 95
-
Scan #110
Page 96
-
Scan #111
Page 97
-
Scan #112
Page 98
-
Scan #113
Page 99
-
Scan #114
Page 100
-
Scan #115
Page 101
-
Scan #116
Page 102
-
Scan #117
Page 103
-
Scan #118
Page 104
-
Scan #119
Page 105
-
Scan #120
Page 106
-
Scan #121
Page 107
-
Scan #122
Page 108
-
Scan #123
Page 109
-
Scan #124
Page 110
-
Scan #125
Page 111
-
Scan #126
Page 112
-
Scan #127
Page 113
-
Scan #128
Page 114
-
Scan #129
Page 115
-
Scan #130
Page 116
-
Scan #131
Page 117
-
Scan #132
Page 118
-
Scan #133
Page 119
-
Scan #134
Page 120
-
Scan #135
Page 121
-
Scan #136
Page 122
-
Scan #137
Page 123
-
Scan #138
Page 124
-
Scan #139
Page 125
-
Scan #140
Page 126
-
Scan #141
Page 127
-
Scan #142
Page 128
-
Scan #143
Page 129
-
Scan #144
Page 130
-
Scan #145
Page 131
-
Scan #146
Page 132
-
Scan #147
Page 133
-
Scan #148
Page 134
-
Scan #149
Page 135
-
Scan #150
Page 136
-
Scan #151
Page 137
-
Scan #152
Page 138
-
Scan #153
Page 139
-
Scan #154
Page 140
-
Scan #155
Page I
-
Scan #156
Page #156
-
Scan #157
Page II
-
Scan #158
Page #158
-
Scan #159
Page III
-
Scan #160
Page #160
Actions
About this Item
- Title
- An elementary treatment of the theory of spinning tops and gyroscopic motion, by Harold Crabtree.
- Author
- Crabtree, Harold.
- Canvas
- Page 10
- 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/abr4615.0001.001/24
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
Related Links
IIIF
- 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 June 25, 2025.