INDEX 



(The numbers refer to pages.) 



Absolute units, of force, 30 ; of work, 

 146. 



Acceleration, 12 ; parallelogram of, 13 ; 

 in circular motion, 14, 18. 



Action, 328 ; principle of least, 328. 



Amplitude, of a pendulum, 261; of sim- 

 ple harmonic motion, 265. 



Angle of friction, 47. 



Angular momentum, 297; conservation 

 of, 297. 



Angular velocity, 286 ; composition of, 

 287. 



Arc, center of gravity of circular, 125. 



Atwood's machine, 195. 



Average velocity, 6. 



Axes of inertia, 303. 



Axis of rotation, 92. 



Balancing, of an engine, 337. 



Belt, center of gravity of spherical, 130. 



Canonical equations, 355. 



Catenary, 80. 



Center of force, motion of point about, 

 269. 



Center of gravity, 117 ; of a lamina, 

 121, 135 ; of a solid, 132, 135 ; of a 

 triangle, 121 ; of a pyramid, 132 ; of 

 a circular arc, 126 ; of a segment and 

 sector of a circle, 128, 129; of a 

 spherical belt and cap, 130 ; of a sec- 

 tor of a sphere, 130 ; motion of, of a 

 system, 224. 



Central axis, of a system of forces, 107. 



Centroid, 20. 



Circular arc, center of gravity of, 125. 



Coefficient, of friction, 47; of elas- 

 ticity, 240. 



Coefficients of inertia, 301. 



Composition, of motions, 4; of veloci 

 ties, 7 ; of accelerations, 13 ; of forces 

 acting on a particle, 37; of forces 

 acting in a plane, 95; of parallel 

 forces, 99 ; of couples, 105 ; of rota- 

 tions, 286. 



Compression, moment of greatest, 238. 



Conical pendulum, 271. 



Conservation, of energy, 171 ; of linear 

 momentum, 223 ; of angular momen- 

 tum, 297. 



Conservative system, of forces, 163. 



Coordinates, generalized, 320, 329; nor- 

 mal or principal, 350. 



Couples, 101; in parallel planes, 104; 

 composition of, 105 ; work performed 

 against, 154. 



Cycloidal pendulum, 265. 



Degrees of freedom, number of, 184, 



332. 



Descent, line of quickest, 193. 

 Diagram, indicator, 151. 

 Differential equations, of orbits, 275. 

 Double stars, 280. 



Earth's rotation, 198, 310. 

 Elasticity, of a string, 45; modulus 



of, 45 ; of a solid, 238 ; coefficient 



of, 240. 

 Ellipsoid of inertia, 302. 



361 



