Crabtree Harold. An Elementary Treatment of the Theory of Spinning Tops and Gyroscopic Motion

London: Longmans, 1909. — 170 p.The object of this book is to bring within the range of the abler Mathematicians at our Public Schools and of First Year undergraduates at the Universities, a subject which has hitherto been considered too difficult for any but the more advanced students in Mathematics, while even they have in many cases failed to derive more pleasvire from the vstudy of spinning tops than is contained in submitting the problem to the action of a complicated piece of Mathematical machinery which automatically, though unintelligently, turns out the correct result.
In this attempt to present an elementary, and at the same time a scientific view of the subject, I have expanded several of the suggestive ideas put forward in Dynmnics of Rotation by Professor Worthington, to whom is due a large debt of thanks for much liberal criticism and assistance in the earlier chapters, and for permission to borrow his article on Brennan's Monorail.Introductory chapter.
Rotation about a fixed axis.
Representation of angular velocity. Precession.
Discussion of the phenomena described in the introductory chapter.
The starting of precession. Oscillations of the gyroscope.
Practical applications.
Steady motion of a top.
General motion of a top.
Moving axes.
Stability of rotation. Periods of oscillation.