362 



INDEX 



Energy, potential, 163; kinetic, 168, 

 228 ; total, 171; conservation of , 171; 

 of motion of a system, 230 ; of a rigid 

 body, 290. 



Envelope of paths, of projectiles, 211. 



Equation, of energy, 171, 256; of mo- 

 tion of a particle, 254 ; of orbit of 

 a particle, 275 ; of a rigid body, 304. 



Equations, Euler's, 306, 346 ; La- 

 grange's, 329, 342 ; canonical (Ham- 

 ilton's), 355. 



Equilibrium, of a particle, 38, 41 ; of 

 a system of particles, 63 ; of a rigid 

 body, 93; stability and instability 

 of, 174, 351. 



Euler's equations, 306, 346. 



Extensibility, of strings, 44. 



Flexibility, of strings, 43. 



Force, 26 ; measurement of, 30 ; trans- 

 missibility of, 94. 



Forced oscillations, 353. 



Forces, composition and resolution of, 

 37-39 ; in one plane, 66, 95 ; parallel, 

 96, 99 ; in space, 106 ; impulsive, 

 233. 



Frame of reference, 3, 33 ; motion re- 

 ferred to moving, 197 ; kinetic energy 

 referred to moving, 228. 



Frequency, of a vibration, 263. 



Friction, 46 ; coefficient of, 47. Reac- 

 tion between moving rough bodies, 

 200. 



Generalized coordinates, 320, 329 ; im- 

 pulse, 345; momentum, 345. 



Gravitation, law of, 279. 



Gravity, work performed against, 153 ; 

 motion of body falling under, 189 ; 

 variation with latitude, 200. 



Gyration, radii of, 290. 



Hamilton's Principle, 323. 

 Harmonic motion, simple, 261. 

 Hooke's law, 44. 

 Horse power, 146. 



Impact,- 238 ; of particle on fixed sur- 

 face, 241 ; of any two moving bodies, 

 244 ; of two smooth spheres, 246. 



Impulse, 233 ; of compression, 239 ; of 

 restitution, 240 ; generalized, 345. 



Impulsive forces, 233, 345. 



Inclined plane, motion of particle on, 

 192. 



Indicator diagram, 151. 



Inertia, moment of, 290; coefficients 

 and products of, 301, 302 ; ellipsoid 

 of, 302 ; principal axes of, 303. 



Inverse square, law of, 276. 



Kepler's laws, 279. 



Kinetic energy, 168 ; of system of par- 

 ticles, 228; of rotation, 289; of a 

 rigid body, 290. 



Lagrange's equations, 329 ; for impul- / 

 sive forces, 344; for non-conserva- 

 tive systems, 339. 



Lamina, center of gravity of, 121, 135. 



Latitude, variation of gravity with, 

 200; variation of terrestrial, 310. 



Laws, of nature, 1 ; of motion, 26. 



Least action, 327. 



Line of action, of a force, 60. 



Mass, and measurement of mass, 29. 



Measurement, of velocity, 6 ; of accel- 

 eration, 12 ; of mass, 29; of force, 30 ; 

 of work, 145 ; of acceleration due to 

 gravity, 195; of an impulse, 235. 



Modulus of elasticity, of a string, 45. 



Moment, of a force, 60 ; of a velocity, 

 274 ; of inertia, 290 ; of momentum, 

 295. 



Moment of greatest compression, 238. 



Moments, principal, of inertia, 301. 



Momentum, 29; conservation of linear, 

 223 ; moment of, 295 ; conservation 

 of angular, 297 ; generalized, 345. 



Motion, referred to frame of reference, 

 3 ; of a rigid body, 91, 286 ; referred 

 to moving frame of reference, 197 ; 



