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

CONTENTS.
INTRODUCTORY CHAPTER.
PAGES
BEHAVIOUR OF ORDINARY SPINNING TOPS 1-5
ToPS CONTAINING LIQUID - - - 5, 6
CELTS - - - 7
THE GYROSCOPIC ToP - - - - - - - 8
THE GYROSCOPE -- - - - - - - - 9-12
CHAPTER 1.
ROTATION ABOUT A FIXED AXIS.
ARTS.
1-7. Angular velocity and acceleration - - - - 13-16
8. Law of inertia - - - - - - 16
9, 10. Moment of momentum or angular momentum. Moment
of inertia - - - - 17, 18
11. Moments of inertia for a thin rod and solid disc - 18-20
12-14. Change of angular momentum - - - 20, 21
15. Kinetic energy - - - - - - 21, 22
16. Work done by a couple - - - - 22
17. Analogies between linear and rotational motion- - 23
18. Table of moments of inertia - - - 23, 24
19. Illustrative examples - - - - - - - 24-28
Examples for solution. Diagrams of certain tops and
of the mechanism for steering a torpedo - - 28-31
CHAPTER II.
REPRESENTATION OF ANGULAR VELOCITY. PRECESSION.
20. Angular velocity a vector quantity - - - - 32
21, 22. The physical meaning of composition of velocities - 32, 33
23. Simultaneous rotations - -- - 33
24-27. Parallelogram of angular velocities and of angular
accelerations - - - - - - - - 34, 35
28. Definition of angular velocity about a moving line - 35
29-31. Representation of angular momentum - - - - 36