Xll 



CONTENTS. 



THE PRINCIPLES OF DYNAMICS. 

 CHAPTER V. 



ARTS. PAGES 



67 74. Conception of a Body. Mutual Actions. Mass. Density 85 88 



7577. Force. Motion of a Body under given Forces . . . 8890 



78 80. Momentum. Kinetic Reaction. Equations of Motion . 90 



8183. Impulses 9092 



84 88. Rational Mechanics and its applications. Postulates of 



Mechanics 92, 93 



8994. Field of Force, Weight, Validity of Concept of Mass, 



Gravitation 9398 



9597. Quantity of Matter. Inertia . . . . . . 98, 99 



Historical Note 100, 101 



CHAPTER VI. 



98104. Theory of Parallel Axes and Motion of Centre of Inertia 102105 

 105 110. Equations of Motion. D'Alembert's Principle. Independ- 

 ence of Translation and Eotation 106 108 



111 113. Conservation of Momentum. Impulses .... 108 110 



CHAPTER VII. 



114 117. Forces acting on Eigid Systems Ill 114 



118120. Constraints and Resistances. Friction .... 114, 115 



121124. Deformable Bodies. Stress and Strain. Surface Tractions 116118 



125130. Strings and Springs 119122 



CHAPTER VIII. 



131138. Work done by Forces. Conservative System. Potential 



Energy 123127 



139150. Examples of Calculation of Work 127 133 



151. Equation of Energy 133 135 



152 154. Positional and Motional Forces. Conservation of Energy. 



Power 135138 



155. Kinetic Energy produced by Impulses .... 138, 139 



156159. Virtual Work. Variational Equation of Motion . . 139141 



Critical Note 141144 



