CONTENTS. 



Xlll 



METHODS AND APPLICATIONS. 



ARTS. 



160 174. 

 175 177. 



178181. 



CHAPTER IX. 



Dynamics of a Particle. Given Fields of Force 

 Problem of Two Bodies. Planetary Motions . 

 Disturbed Elliptic Motion 

 Examples 



PAGES 



145 _ 154 

 154159 

 159161 

 162171 



CHAPTER X. 



182 187. Constrained Motion under Gravity. Atwood s Machine . 172 _ 177 



188 190. Simple Circular Pendulum. Small Oscillation . . . 178 _ 180 



191 194. Finite Motion of Pendulum ...... 180 _ 182 



195 202. Motion on Smooth Curve. Rotating Tube. Rough Curve 182189 



203207. Motion on a Surface. Conical Pendulum .... 189 _ 195 



208 213. Resisting Medium ..... ... 195 _ 200 



Examples .......... 201226 



CHAPTER XI. 



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



215 217. Moments of Inertia ........ 228231 



218 220. Momentum, Kinetic Energy, and Kinetic Reaction of Rigid 



Body .......... 232235 



221 224. Equations of Motion. Pendulum ..... 235 _ 238 



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



Examples .......... 247255 



CHAPTER XII. 



226. Introductory Remarks ..... . 256 



227 236. Impulses. Restitution of Form in collision. Impulsive 



Changes of Motion . . . . . . . 256 _ 269 



237 244. Impulsive motion of rigid bodies ..... 269278 



245 249. Initial motions of systems of particles .... 278 _ 282 



250 252. Initial motions of systems of rigid bodies .... 282 _ 286 



253, 254. Small oscillations of systems of particles .... 286289 



255257. Small oscillations of systems of rigid bodies . . . 289 _ 292 



258, 259. Applications of the Principles of Energy and Momentum 293 _ 295 

 260264. Stability of steady motions. Principles of Energy and 



Momentum applied to systems of rigid bodies . . 295301 



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

 269 274. General motion of a chain in two dimensions. Initial 



Motion and Impulsive Motion ..... 304 310 



Examples ......... . 310 _ 350 



