An Elementary Treatment Of The Theory Of Spinning Tops And Gyroscopic Motion - Illustrated

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 pleasure from the study 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. An Unabridged Reprinting Of The 1909 Edition, To Include All Behavior Of Ordinary Spinning Tops, Tops Containing Liquid, Celts, The Gyroscopic Top, The Gyroscope - Rotation About A Fixed Axis - Representation Of Angular Velocity, Precession - Discussion Of The Phenomena Described In The Introductory Chapter (Rise And Fall Of The Top, Behavior Of A Top Containing Liquid, The Gyroscopic Top, Effect Of Reactions In The Mounting Of A Gyroscope, Explanation Of The Behavior Of Celts) - The Starting Of Precession, Oscillations Of The Gyroscope (Conservation Of Angular Momentum, Illustrations, Summary Of Results, Increase Of Precession Of A Dying Top, Inertia, Dipping Of A Gyroscope At The Start Of Precession, Oscillations, Summary Of Results, Principle Of Energy Applied To A Rising Top, Principle Of Energy Applied To A Dying Top, Energy Lost In Heat, Electrical Analogy) - Practical Applications (The Steering Of A Torpedo, Steadying Vessels At Sea, Brennan's Monorail) - Steady Motion Of A Top - General Motion Of A Top - Moving Axes - Stability Of Rotation, Periods Of Oscillation - Miscellaneous Examples - Appendix - Answers To Examples - Answers To Questions