A Treatise on the Theory of Screws

Forfatter: Sir Robert Stawell Ball

År: 1900

Forlag: The University Press

Sted: Cambride

Sider: 544

UDK: 531.1

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X CONTENTS. §§ PAGB 89. Expression for Kinetic Energy........................80 90. Twist Velocity acquired by an Impulsive Wrench.......81 91. Kinetic Energy acquired by an Impulsive Wrench.......82 92. Formula for a Free Body .......... 82 93. Lemma................................................83 94. Euler’s Theorem......................................83 95. Co-ordinates in a Screw System.......................83 96. The Reduced Wrench...................................84 97. Co-ordinates of Impulsive and Instantaneous Screws...85 CHAPTER VIII . The Potential. 98. The Potential......................................................87 99. The Wrench evoked by Displacement..................................88 100. Conjugate Screws of the Potential..................................89 101. Principal Screws of the Potential..................................90 102. Co-ordinates of the Wrench evoked by a Twist.......................91 103. Form of the Potential..............................................92 CHAPTER IX . Harmonic Screws. 104. Definition of au Harmonic Screw....................................94 105. Equations of Motion................................................96 106. Discussion of the Results..........................................99 107. Remark on Harmonic Screws.........................................100 CHAPTER X . Freedom of the Fikst Order. 108. Introduction.........................................................101 109. Screw System of the First Order......................................101 110. The Reciprocal Screw System..........................................102 111. Equilibrium..........................................................103 112. Particular Case . 104 113. Impulsive Forces.....................................................104 114. Small Oscillations ............ 105 115. Property of Harmonic Screws..........................................106