Applied Gyrodynamics - A 1932 book on gyroscopes and gyroscope based apperatus

Vill CONTENTS CHAPTER II

THE MOTION OF A SPINNING BODY UNDER THE ACTION OF A TORQUE ART. PAGE

29. Degrees of Freedom 44 30. The Effect on the Motion of a Spinning Body Produced by an

External Force : 45

31. Precession 48 32. Change in the Motion of a Ship Produced by Precession of the Shaft 50 33. Deviation of the Course of an Airplane Produced by Precessions of

the Propeller Shaft 51 34-35. Magnitude of the Torque Required to Maintain a Given Pre

cessional Velocity when there is Zero Motion about the Torque

Axis, and when the Axes of Spin, of Torque and of Precession

are Perpendicular to One Another. Solved Problems 52 36. The Direction and Magnitude of the Torque Developed by a Spin

ning Body when Rotated about an Axis Perpendicular to the

Spin-Axis. Solved Problems

37. The Period of Precession 38. The Kinetic Energy of a Precessing Body

39. Nutation

40. The Effect of Hurrying and of Retarding the Precession of a Spinning Body

41. Motion of the Spin-Axis Relative to the Earth 42. The Angular Velocity of the Spin-Axle of an Unconstrained Gyro

scope with Respect to the Earth. Solved Problem

43, An Instrument for Measuring the Crookedness of a Well Casing.. 44. The Weston Centrifugal Drier

45. The Effect on the Direction of the Spin-Axis of a Top Produced by

Friction at the Peg 76 46. The Bonneau Airplane Inclinometer 76 47; The Sperry Airplane Horizon .78

48. The Drift of the Projectile from a Rifled Gun 80 49. The Effect of Revolving a Non-Pendulous Gyroscope with Two

Degrees of Rotational Freedom, about the Axis of the Sup

pressed Rotational Freedom S2

50. The Pioneer Turn Indicator 85 51. The Clinging of a Spinning Body to a Guide in Contact with It ... 85 52. Components of the Torque Acting upon a Spinning Body Having

one Fixed Point, Relative to the Three Coordinate Axes of a

Rotating Frame of Reference 87

53. Components of the Torque Required to Maintain Constant Pre

cession of a Body when the Precession Axis is Inclined to the

Spin-Axis

54. The Griffin Pulverizing Mill. Solved Problem 55. The Automobile Torpedo ...56. The Pendulum-Controlled Depth Steering Gear

57. The Conditions that Must Be Fulfilled by the Horizontal Steering

Mechanism 96

ART.		PAGE
58. The Bliss-Leavitt Torpedo Steering Gear		97
59. Method of Compensating the Effect of the Rotation of the Earth		99
60. Devices for Changing the Course of a Torpedo		99
61. Airplane Cartography		100
62. Direct Control of the Axis of a Camera		101
63. Indirect Control of the Axis of a Camera		101
64. Control of the Line of Sight of a Camera		103
CHAPTER III THE GYROSCOPIC PENDULUM OR PENDULOUS GYROSCOPE §1. General Properties		105
65. The Gyro-Pendulum
66. The Period and the Equivalent Length of a' Gyroscopic Conical Pendulum		105
67. The Inclination of the Precession Axis of a Gyroscopic Conical Pendulum to the Vertical		106
68. The Period of the Undamped Vibration, back and forth through the Meridian, of the Gyro-Axle of a Pendulous Gyroscope		108
69. The Torque with Which the Second Frame of a Gyroscope Resists Angular Deflection		111
70. The Length of the Simple Pendulum Which Has the Same Period
as an Oscillating Body to Which is Attached a Spinning Gyroscope		113
§2. Gyro-Horizontals and Gyro-Verticals 71. Determination of the Latitude of a Place		115
72. Gyro-Horizons		116
73. The Schuler Gyro-Horizon		117
74. The Anschutz Gyro-Horizon		117
75. The Bonneau-LePrieur-Derrien Gyro-Sextant		119
76. Fleuriais Gyroscopic Octant		120
77. The Sperry Roll and Pitch Recorder		121
78. The Sperry Automatic Airplane Pilot		123
79. The Sperry-Carter Track Recorder		125
80. Directed Gun-Fire Control		128
81. Gun-Fire Directorscopes		129
CHAPTER IV GYROSCOPIC ANTI-ROLL DEVICES FOR SHIPS §1. The Oscillation of a Ship in a Seaway		131
The Rolling Ship due to Waves 82. of a
83. The Pitching of a Ship due to Waves		132
84.	The Metacentric Height	132
85.	The Experimental Determination of the Metacentric Height....	133
86.	The Period of the Rolling Motion of a Ship	134
87.	Methods of Diminishing the Amplitude of Roll	135

CONTENTS

60 66 66 67

69 71

72 74 75

90 92 94 95