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

CONTENTS
ARTS.
70. Extract from paper read by Herr Schlick before the
Institution of Naval Architects - - - -
71. Apparatus fitted to the R.M.S. "Lochiel" -
72, 73. Brennan's Monorail - - - - - -
73. Extract from the Times Engineering Supplement
74. Differences between car and model
CHAPTER VI.
STEADY MOTION OF A TOP.
77, 78. Rotation about one axis involves angular momentum
about two other axes - -

xi
PAGES
68-70
70
70-73
73-77
77-78

79. Particular case of a solid of revolution - -
80. Moving axle - - - - - -
81. Moving axis - - - - - -
82. The velocities and momenta of a spinning top in
steady motion - - - - - - -
83. Velocity axis - - - - - - --

79, 80
80, 81
81
82

84.
85.
86.
88, 89.
90.
91.
92.
93.
94.
95.
96.

Momentum axis - - -
Rotation of momentum axis - -
Steady motion on a fine fixed point - - - -
Equations deduced from gyroscopic resistance
Motion equivalent to that of one cone rolling on another
Application of the hodograph to angular momentum -
Deduction of the equations of motion - -
Solid of revolution, or top with blunt peg, spinning
on a rough horizontal plane -
Steady motion on a surface of revolution
Systems of gyrostats -
Rolling cone - - - - - - -
Examples - -

82, 83
83
83, 84
84, 85
85-87
87, 88
88, 89
89
89, 90
90, 91
91
91-93
93, 94
95, 96

CHAPTER VII.
GENERAL MOTION OF A TOP.
97. The angular momenta of a top spinning on a fine
fixed point - - -
98. Motion when the centre of gravity has no initial velocity
99. The limiting values of oscillation - - - -
100. The values of the azimuthal velocity at these limits -
101,102. Least possible values for the spin of a top -
103. Change in direction of the azimuthal velocity
104. Oscillations deduced from gyroscopic resistance -

97, 98
98
98, 99
99, 100
100, 101
102
102, 103