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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

ix

60 66 66 67


69 71


72 74 75

90 92 94 95


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