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

X

CONTENTS

ARTS.
32.
33.
34, 35.
36-40.
41.
42.

Distinction between axis and axle
Definitions: Gyrostat, Gyroscope, Spin of a gyroscope
Motion of a gyroscope with its axle horizontal -
Precession - - - - - - -
Analogy in linear motion - - - - -
Diabolo - - - - - - - - - -

PAGES
37
37
37, 38
38-40
40
40, 41

Examples

_

43.
44.
45.

Independence of translation and rotation
Illustrations of precession - - -
Gyroscopic resistance - - - -
Examples - - -

42
42, 43
43, 44
44, 45
45, 46

CHAPTER III.
DISCUSSION OF THE PHENOMENA DESCRIBED IN THE
INTRODUCTORY CHAPTER.

48 -

47.
-50.

Rise and fall of a top - - -
Behaviour of a top containing liquid -::

47-49
50, 51
51, 52
52

51. The gyroscopic top
52. Effect of reactions in the mounting of a gyroscope
54. Swerving of a sliced golf ball. Drifting of a rifle
bullet - - - -
55. Explanation of the behaviour of Celts - -

53, 54
54

CHAPTER IV.
THE STARTING OF PRECESSION. OSCILLATIONS OF THE
GYROSCOPE.

56.
57.
58.
59.
60, 61.
62, 63.
64.
65.
66.
67.

Conservation of angular momentum. Illustrations 55-57
Summary of results - - -57
Increase of precession in a dying top - - 57, 58
Inertia - - - - - 58, 59
Dipping of a gyroscope at the start of precession 59-61
Oscillations - - -- 61, 62
Summary of results - - - - - 63
Principle of energy applied to a rising top - - - 63
Principle of energy applied to a dying top - - 63, 64
Energy lost in heat. Electrical analogy - - 64, 65

CHAPTER V.
PRACTICAL APPLICATIONS.
68. The steering of a torpedo - - - 66
69. Herr Schlick's method of steadying vessels at sea - 67, 68