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| Ïîèñê ïî óêàçàòåëÿì |
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| Synge J.L., Griffith B.A. — Principles of Mechanics |
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| Ïðåäìåòíûé óêàçàòåëü |
Object point 395
Observer in relativity 477
Optics, electron see "Charged particle"
Orbit, central 166—184 185 186
Orbit, circular 174—176
Orbit, elliptical 169 179—182 185 374 see
Orbit, hyperbolic or parabolic 179 185
Ordered triad 247
Orthogonal triad 23
Oscillation, center of 201
Oscillations, damped 163—168 185
Oscillations, deadbeat 166 185
Oscillations, forced 166—168 185
Oscillations, harmonic 160—162 184 see "Vibration"
Oscillator, harmonic 159—168
Osculating plane 264
Over-rigid frame 106
Pappus, theorems of 80 114
Parabola in suspension bridge 100 114
Parabolic orbit 179 185
Parabolic trajectory of projectile 151—154 184
Parallel axes, theorem of 191—193 222
Parallel forces 270 271
Parallelepiped see "Cuboid"
Parallelogram law, for couples 268
Parallelogram law, for infinitesimal rotations 282
Parallelogram of forces 32 33 36
Particle 8 9 35
Particle, angular momentum of 128 129 146 329 333 341 360
Particle, charged 176 381—403 412 413
Particle, dynamics of 127—131 146 151—184—186 212—214 337—343 360 364—411—414 459—462 491—498 499
Particle, equilibrium of 39 40 69 70 262 301
Particle, free 32 489 490 498
Particle, in a plane 64—66 118—121 126 127—131 146 151—184—186 212—214 217 218 370—372 459—462
Particle, in relativity 477 489—498 499
Particle, in rotating frame 142 143 147 347—351 361
Particle, in space 305—308 329 332 333 337—343 346—351 360 373—411—414
Particle, kinematics of 118—121 125 305—308 332 485—495 498
Particle, kinetic energy of 129 146 333 460
Particle, Lagrange's equations for 459—462
Particle, linear momentum of 128 337 495 496
Particle, on rotating earth 144—146 403—411 414
Particle, on stretched string 511
Particle, potential energy of 65—67
Particle, principle of energy for 129—131 146 311 342 360 382 496 497 499
Particle, under central force 128 168—184 185 462
Particles, on stretched string 208—212
Past and future, determination of 339 340
Pendulum, ballistic 235 236
Pendulum, compound 198—201 223 370
Pendulum, conical 374 375
Pendulum, Equivalent simple 200 223
Pendulum, Foucault's 408—411 414
Pendulum, simple 159—161 184 370—372 412
Pendulum, spherical 373—381 412
Percussion, center of 239
Perihelion 180
Period see "Periodic time"
Periodic solutions of a differential equation 364—367
Periodic time 161
Periodic time of simple pendulum 161 184 372 412
Periodic time, normal 211—213 223 468 409
Periodic time, of compound pendulum 200 201 223 370
Periodic time, of harmonic oscillator 162 163 166 168
Periodic time, of planet 180—182 185
Perpendicular axes, theorem of 193 222
Phase of oscillator 162
Philosophical ideas 3—8
Physical laws and dimensions 508—512
Physical truth 7
Physical way of thinking 3—5 508
Physicists' equations 506 507
Pitch, of screw displacement 284 285
Pitch, of wrench 269 270 285
Pitching moment 272
Plane dynamics, applications in 151—184—186 189—222 223
Plane dynamics, methods of 127—146 147
Plane equipollence 48
Plane impulsive motion 227—238 239
Plane kinematics 118—125
Plane mechanics defined 39
Plane statics, applications in 74—113 115
Plane statics, methods of 38—69 70
Plane, fundamental 39
Plane, inclined 202—204
Plane, invariable 420 453
Plane, of symmetry 78 321
Plane, osculating 264
Planetary orbit 176—184 185
Planetary orbit, constants of 179 180 185
Planetary orbit, Kepler's laws for 181 182
Planetary orbit, periodic time of 180 181 185
Plumb line on rotating earth 145 146 403 405
Poinsot ellipsoid 420 421 425 453
Poinsot, method of 419—421 425—429 453
Polhode cone 309
Polygon of forces 40
Poschl, Th. 88
Position vector 24 36 305
Positive rotation 247
potential energy 64—67 70 85 114 130 294—297 299 300 302
Potential energy, a minimum for stability 214—221 223 296
Potential energy, for inverse square law of attraction 83 178
Potential, electric 381
Potential, gravitational 83
Potential, magnetic 382
Pound 13
Poundal 34
Power 54
Prandtl, L. 88
Precession 429—432 438 442—444 453 454
Principal axes and moments of inertia 316—326 333
Principal normal 264
Principal planes of inertia 318
Principle for particle 128 129 146 341 360
Principle for system 135 147 344 345 360
Principle of angular momentum, in impulsive motion 230 231 238 357 358 361
Principle of energy, for particle 129—131 146 341 342 360 382
Principle of energy, for rigid body 196 201 223 352 356 360 361
Principle of energy, for system 136 137 147 346 360
Principle of energy, in relativity 496 497 499
Principle of equivalence 480 481
Principle of linear momentum, for particle 337 496
Principle of linear momentum, for system 132 146 343 360
Principle of linear momentum, in impulsive motion 229 230 238 357 358 361
Principle of virtual work 57—60 70 295 296 301
Principle, for rigid body 196 202—204 223 352 355 360 361
Principle, relative to mass center 136 147 202 223 345 360 361
Procedure in theoretical mechanics 6 7
Products of inertia 313—316 333
Products of vectors 245—257
Products of vectors, mixed triple 250 251 267
Products of vectors, scalar 245 246 257
Products of vectors, vector 247—250 257
Products of vectors, vector triple 252 257
Projectile, on rotating earth 407 408 414
Projectile, stability of 440 441
Projectile, with resistance 154—159 184
Projectile, without resistance 151—154 184
propeller 312 313 321 322
Proper energy 497
Proper mass 495
Proper time 491 492 498
quantum mechanics 7 8 177 340 341
Radial components of velocity and acceleration 120 125
Radius, of curvature 119 264
Radius, of gyration 189
Radius, of torsion 264
Range of projectile 153 154
Rate, of change of vector 347 348 361
| Rate, of growth 348
Rate, of transport 348
Rawlings, A.L. 445
Reaction, at rough contact 86—88 114
Reaction, at smooth contact 54 55 57 70
Reaction, in beam 92—94 114 272 273
Reaction, in rigid body 56 57 70
Reaction, in rotating rod 206 207
Reaction, normal 87
Reaction, workless 54—57 70
Reactions of constraint 57—59 295
Rectangular cuboid, moments of inertia of 324
Rectangular plate, moments of inertia of 190 222 324
Reduction, of displacement, to screw 284 285
Reduction, of general force system 266—273 301
Reduction, of plane force system 50—52 70
Reduction, of system of parallel forces 270 271
Reduction, to translation and rotation 61 62 280 281 302
Relative energy 495 497 499
Relative force 495—499
Relative mass 495
Relative momentum 495 496
Relativistic contraction of moving rod 486 487 490
Relativistic slowing down of moving clock 487 490
Relativity, fundamental concepts of 475—480
Relativity, general theory of 7 177 476 477
Relativity, measurement of time in 475—480 483 487 490 492 493 498
Relativity, motion of a particle in 489—498 499
Relativity, Special Theory of 475—498 499
Representative lamina 61
Resistance of air 151 154—159 184
Resistance of air, varying as the square of the velocity 157—159 184
Resistance of air, varying directly as the velocity 159 184
Resonance 163 168
Rest 14
Rest energy 497
Restitution 233 234
Restitution, coefficient of 232—234 239
Resultant, of finite rotations 20 282
Resultant, of forces 32 36
Resultant, of infinitesimal displacements 281—283 302
Reversed effective force 138 147
Right-handed triad 247
Rigid body 10 11 36
Rigid body with a fixed point, angular momentum of 330—333
Rigid body with a fixed point, angular velocity of 308—310 332
Rigid body with a fixed point, displacement of 279—282 290 301 302
Rigid body with a fixed point, dynamics of 351—355 360 418—444 453 454
Rigid body with a fixed point, equations of motion of 352 360
Rigid body with a fixed point, Euler's theorem for 279 280 301
Rigid body with a fixed point, Eulerian angles for 288—290 309 310
Rigid body with a fixed point, kinematics of 308—310 332
Rigid body with a fixed point, kinetic energy of 327 328 333
Rigid body with a fixed point, mounting of 418
Rigid body with a fixed point, under no forces 418—429 453 see "Top"
Rigid body, angular momentum of 193 194 222 223 330—332 333
Rigid body, angular velocity of 122 125 308—311 332
Rigid body, displacement of 61 62 70 278—285 301 302
Rigid body, dynamics of 189—207 221—223 351—356 360 361 418—453 454
Rigid body, equilibrium of 62—64 70 273—278 301
Rigid body, free 290
Rigid body, in relativity 477
Rigid body, internal reactions in 56 57 70 206 207
Rigid body, kinematics of 121—124 125 308—313 332
Rigid body, kinetic energy of 193—196 222 223 327—329 333
Rigid body, motion in space 351—356 360 361 418—453 454
Rigid body, motion parallel to a plane 121—124 125 189—207 221—223
Rigid body, rotating about fixed axis 196—201 223
Rigid body, work done by forces acting on 63 70 292 293 302
Rod, moment of inertia of 190 222
Rolling contact 55—57 70 123 124
Rolling disk 450—453 454
Rotating frame of reference 142 143 147 347—351 361
Rotating rod 206 207
Rotation, about fixed axis 196—201 223
Rotation, about fixed point 279—282 301 302 308—310 332
Rotation, in a plane 61 62 121—125
Rotation, instantaneous axis of 308
Rotation, of the Earth 13 143—146 403—411 414
Rotation, positive 247
Rotations, finite, resultant of 20 282
Rotations, infinitesimal, resultant of 281 282 302
Rough contact 86—88 114
Routh's rule 325
Russell, H.N. 13 429
scalar 18
Scalar field 28
Scalar product 245 246 249 250 257
Scalar, multiplied by a vector 19 20
Screw displacement 284 285
second 13 14
Sections, method of 110 111 115
Semicircular plate and wire, mass centers of 80
Separation in space-time 489 498
Shearing force 92—97 114 272 273
Shell see "Projectile"
Significant figures 508
Silberstein, L. 481
Simple frame 111
simple harmonic motion 160—162 184
Simple pendulum, equivalent 200 223
Simple pendulum, finite oscillations of 161 200 370—372 412
Simple pendulum, small oscillations of 159—161 184
Sleeping top 438—440 453
Sliding vector 18
Slowing down of moving clock 487 490
Small displacement see "Infinitesimal displacement"
Smooth contact 54 55 57 70
sn x 367—370 411 412
Solar system, dynamics of 182
Solar system, mass center of 134
Sommerville, D.M.Y. 320
Space centrode 124 125 309
Space cone 309 421 425 427 453
Space-time 487—491 498
Space-time, vectors in 494 495
Special theory of relativity see "Relativity"
Speed 27
Speed, of approach 232 233 239
Speed, of light 27 479—481 483 485 496
Speed, of separation 232 233 239
Sphere, mass center of 78
Sphere, moment of inertia of 191 222 324
Spheres, collision of 231—235
Spherical pendulum 373—381 412
Spherical pendulum, apse of 378—381
Spherical pendulum, general motion of 375—378 412
Spherical pendulum, small oscillations of 373 374 378—381 412
spherical polar coordinates 467 468
Spherical shell, attraction of 83 84
Spherical shell, moment of inertia of 326
Spin of top or gyroscope 430 433 442—444 453 454
Spinning top see "Top"
Stability, of circular orbit 174—176
Stability, of equilibrium 214—221 223 296
Stability, of gyroscope 441 442 454
Stability, of rolling disk 450—453 454
Stability, of sleeping top 438—440 453
Stability, of spinning projectile 440 441
Statically determinate problems for beams 94 95
Statically indeterminate problems 68 69 90 278
Statics, in space 259—301 302
Statics, plane, applications in 74—113—115
Statics, plane, methods of 38—69 70
Stewart, J.Q. 13 429
Stress, in bar of frame 108
Stress, in beam 92 93 114 272 273
String see "Cable"
Subtraction of vectors 21
Sufficient conditions of equilibrium 39 40 59 60 62 63 69 70 273—275 301
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