CONTENTS. 



Xlll 



METHODS AND APPLICATIONS. 



CHAPTER IX. 



Dynamics of a Particle. Given Fields of Force 

 Problem of Two Bodies. Planetary Motions 



Disturbed Elliptic Motion 



Examples 



PAGES 

 145154 

 154159 

 159161 

 162171 



CHAPTER X. 



Constrained Motion under Gravity. Atwood's Machine . 172 177 



Simple Circular Pendulum. Small Oscillation . . . 178 180 



Finite Motion of Pendulum 180 182 



Motion on Smooth Curve. Rotating Tube. Rough Curve 182189 



Motion on a Surface. Conical Pendulum .... 189 195 



Resisting Medium 195 200 



Examples 201226 



CHAPTER XI. 



Two-dimensional Motion of Rigid Body. Angular Velocity 227, 228 



Moments of Inertia 228231 



Momentum, Kinetic Energy, and Kinetic Reaction of Rigid 



Body 232235 



Equations of Motion. Pendulum 235 238 



Illustrative Problems. Inertia, Friction, Stress . . 238 247 



Examples 247255 



CHAPTER XII. 



Introductory Remarks 256 



Impulses. Restitution of Form in collision. Impulsive 



Changes of Motion 256 269 



Impulsive motion of rigid bodies 269 278 



Initial motions of systems of particles .... 278 282 



Initial motions of systems of rigid bodies .... 282 286 



Small oscillations of systems of particles .... 286289 



Small oscillations of systems of rigid bodies . . . 289 292 



Applications of the Principles of Energy and Momentum 293 295 

 Stability of steady motions. Principles of Energy and 



Momentum applied to systems of rigid bodies . . 295 301 



Motion of a chain, restricted freedom .... 301304 

 General motion of a chain in two dimensions. Initial 



Motion and Impulsive Motion 304 310 



Examples 310350 



