|
|
 |
| Àâòîðèçàöèÿ |
|
|
|
| Ïîèñê ïî óêàçàòåëÿì |
|
|
|
|
|
|
|
 |
|
|
|
| Synge J.L., Griffith B.A. — Principles of Mechanics |
|
|
|
| Ïðåäìåòíûé óêàçàòåëü |
Absolute equations of motion 493—495
Absolute velocity, acceleration, and force 494 495
Acceleration 27 28 36 305 332
Acceleration in cylindrical coordinates 306 307
Acceleration in relativity 492 493 495
Acceleration in spherical polar coordinates 407 468
Acceleration of automobile 205 206
Acceleration of Coriolis 349
Acceleration of transport 349
Acceleration, absolute 495
Acceleration, complementary 349
Acceleration, due to gravity see "g"
Acceleration, radial and transverse components 120 125
Acceleration, tangential and normal components 118 119 126 305 306 332
Accelerations, composition of 141 307 308
Action and reaction, law of 32 36
Addition of vectors 19—22 36
Air, resistance of 151 154—159 184
Airplane 271 272 444 512 513
Ames, J.S. 16
Amplitude of oscillations 162
Angle of friction 87 88 114
Angular impulse 357
Angular momentum, in impulsive motion 229—231 238 357 358 361
Angular momentum, of particle 128 129 146 329 333 341 360
Angular momentum, of rigid body 193 194 196 222 223 330—332 333
Angular momentum, of system 134—136 147 329 330 344 345 360
Angular momentum, relative to mass center 135 136 147 330 345 355 360 361
Angular velocity, of rigid body 122 126 308—311 332
Angular velocity, of the earth 143
Anomaly 187
Aphelion 180
Appell, P. xi
Applications, in dynamics in space 364—411—414 418—453 464
Applications, in plane dynamics 151—184—186 189—222 223
Applications, in plane statics 74—113—116
Applications, in statics in space 275—278 296 301
Applications, of Lagrange's equations 467—472
Applied force 58 295
Approximations for electromagnetic lenses 397—403
Apse 171—174 186
Apse, advance of, for spherical pendulum 381
Apsidal angle 173 174 378—381
Archimedes 82
Areal velocity 170 180 185
Associative property of vector addition 22
Astatic center 73
Astronomical frame of reference 31 33 141 143
Astronomical latitude 145 403
Attraction, electrostatic 176
Attraction, gravitational 82—86 114 144—146 176 177 404 405 509
automobile 204—206
Axes of inertia, principal 316—324 333
Axially symmetric electromagnetic field 387—403 413
Axis, of rotation, instantaneous 308
Axis, of screw displacement 285
Axis, of symmetry 78 321 322
Axis, of wrench 269 270
Balancing, problems of 219—222
Ball slipping on table 447—450 454
Ballistic pendulum 235 236
Ballistics 151 184 see
Bars in frame 106 108
Base point 61 259 280 281
Base point, change of 260 283 284
Beam, internal reactions in 92 93 114 272 273
Beam, thin 92—98 114
Becker, K. 151
Bending moment 92—98 114 272 273
Billiard ball 447—450 464
Binormal 264
Blank, A.A. 388
Body centrode 124 125 309
Body cone 309 421 425 427 463
Bound vector 18 19
Bridge, suspension 100 114
Cable, flexible 98—105 114 115
Cable, in contact with curve 104 105 115
Cable, in space 265 266
Cajori, F. 32
Calibration of spring 17
Campbell, J.W. 103
Cardan's suspension 418
Catenary 100—104 115
Celestial pole, motion of 428 429
Center, astatic 73
Center, instantaneous 123—126
Center, of gravity 84—86 114 271
Center, of mass see "Mass center"
Center, of oscillation 201
Center, of percussion 239
Center, of system of parallel forces 271
Centimeter 13
Central force, general 128 168—176 185
Central force, varying as inverse square of distance 176—184 185 462
Central force, varying directly as distance 168 169 185
Central symmetry 77
Centrifugal force 143—145 147 349 350 406
Centrode 124 125 309
Chain see "Cable"
Chako, N. 388
Change of base point 260 283 284
Change of units 504—508
Charge on electron 386 387
Charged particle, in axially symmetric electromagnetic field 388—403 413
Charged particle, in electromagnetic field 176 381—403 412 413
Charged particle, in uniform electromagnetic field 383—387 412
Chasles' theorem 303
Circular disk and cylinder, moments of inertia of 190 191 222 324
circular motion 28
Circular orbit, stability of 174—176
clock 12 13 501
Clock in relativity 475—480 482 483 487 490 492 493
Clocks, synchronization of 477—480
cn x 368 412
Coefficient, of friction 87 88 114
Coefficient, of restitution 232—234 239
Collar, A.R. 316
Collisions 231—235 239
Commutative property in vector operations 19 21 246 267
Complementary acceleration 349
Complex frame 111 112
components of vector 22—24 32 36 36 245 see "Velocity"
Composition, of accelerations 141 307 308
Composition, of couples 208
Composition, of finite rotations 20 282
Composition, of infinitesimal displacements 281—283 302
Composition, of velocities 140 307 308 491
Compound pendulum 198—201 223 370
Compression 233 234
Compression, modulus 186
Cone of friction 87
Cone, body or polhode 309 421 425 427 463
Cone, space or herpolhode 309 421 425 427 453
Configuration of a system 64 286
Conical pendulum 374 375
Conjugate lines 304
Conservation of energy 130 131 137 146 147 196 201 223 231 341 346 356 360 361
Conservative field 66
Conservative system 65—67 294 295 302
Constraints 57—60 285—292
Constraints, moving 474
Constraints, workless 54—57 70
Contact, rolling 55—57 70 123 124
Contact, rough 86—88 114
Contact, smooth 54 55 57 70 86
Continuity of bodies 14 15 76
Contraction of moving rod 486 487 490
Coordinate vectors 23
Coordinates, cylindrical 306 307 338
| Coordinates, generalized 285—292 302 462—472
Coordinates, spherical polar 467
Coriolis, acceleration of 349
Coriolis, force 143 144 147 349 406
Coulomb's law 176
Couple 49
Couple, gyroscopic 442—444 454
Couple, impulsive 229
Couple, moment of 49 50 267
Couple, twisting, in a beam 272
Couple, work done by 64 293
Couples, composition of 268
Courant, R. 320
Covering operation 320
Cranz, C. 151
Critical form for a frame 113
Cuboid, moment of inertia of 324
Curvature, radius of 119 264
Curves in space 264 265
Cuspidal motion of a top 436—438
Cylinder, balancing problem for 219—222
Cylinder, moments of inertia of 191 222 324
Cylinder, rolling down inclined plane 202—204
Cylindrical coordinates 306 307 338
D'Alembert's principle 138 139 147
Dale, J.B. 370
Damped oscillations 163—168 185
Deadbeat oscillations 166 185
Decomposition, method of 78 79 114 325
Decrement, logarithmic 166
Degrees of freedom 207 208 287
Deimel, R.F. 445
density 76 77
Determination of past and future 340 341
Deviations due to earth's rotation 145 407 408 414
Differentiation, of vectors and their products 24—26 35 250 267
Differentiation, used to find moments of inertia 325 326
Digonal symmetry 321
Dimensional notation 503
Dimensionless quantity 504 508
Dimensions, theory of 501—513
Directed line 22
Discontinuity in bodies 14 15
Discontinuous motion 231
Disk, moment of inertia of 190 222 324
Disk, rolling on plane 450—453 454
Displacement, of rigid body 61 62 70 278—285 290 301 302
Displacement, of rigid body, reduced to translation and rotation 61 62 280 281 302
Displacement, of rigid body, screw 284 285
Displacement, virtual 53 58 461
Distributive property of vector operations 20 246 249
Disturbing force 162 163 166—168 184 185
dn x 368 412
Drag 272
Dugan, R.S. 13 429
Duncan, W.J. 316
Dynamical unit of force 34 502
Dynamics, in relativity 491—498 499
Dynamics, in space, applications in 364—411—414 418—453 454
Dynamics, in space, methods of 337—359 360 361 see "Particle" "Rigid "System
Dynamics, plane, applications in 151—184—186 189—222 223
Dynamics, plane, methods of 127—146 147
Dyne 34
Earth's axis, motion of 428 429
Earth, angular velocity of 143
Earth, attraction of 82 84—86 144—146 404 405
Earth, models of 5 6 84 85 144 403 428 429
Earth, rotation of 13 143—146 403—411 414
Eccentric anomaly 187
Effective force 138
Einstein, A. 7 475 477 478
Elastic beam 95—98 114
Elastic bodies in collision 231—235 239
Electric field, axially symmetric 387 390—392 396
Electric field, uniform 383—386 412
Electric lens, focal length of 403 see
Electric potential 381
Electric vector 381
electromagnetic field 381—403 412 413
Electromagnetic field, axially symmetric 387—403 413
Electromagnetic field, uniform 383—387 412
Electromagnetic lens 392—403 413
Electromagnetic lens, approximations for 397—403
Electromagnetic lens, focal length of 403
Electromagnetic lens, magnification of 396 413
Electron optics see "Charged particle"
Electron, determination of  for 386 387
Electrostatic attraction 176
Electrostatic field 381 383—386 387 390—392 396 412 see
Electrostatic lens 398
Ellipse, momental 322 323
Ellipsoid, momental 315—322 333
Ellipsoid, moments of inertia of 323—325
Ellipsoid, of Poinsot 420 421 425 453
Ellipsoidal shell, moments of inertia of 326
Elliptic cylinder and plate, moments of inertia of 324
Elliptic functions 364—370 411 412
Elliptic harmonic motion 169 374
Elliptic integral 368
Elliptical orbit 169 179—182 186 374
Emde, F. 370
Energy in relativity 495—497 499 see "Potential
Energy, Principle of 129—131 136 146 147 196 201 223 231 341 342 346 352 356 360 361 382 495—497 499
Energy, total 130 137 341 346
Equation of the hodograph 156 184
Equations of charged particle 382 383 386 388 389
Equations of motion, impulsive 229—231 238 357 358 361 470—472
Equations of particle, in a plane 127 128 146 461 462
Equations of particle, in cylindrical coordinates 338
Equations of particle, in relativity 493—498 499
Equations of particle, in space 337—342 360
Equations of particle, relative to rotating earth 403—406 414
Equations of particle, relative to rotating frame 142 348—350
Equations, Lagrange's 458—472
Equations, of rigid body, in general 355 356 361
Equations, of rigid body, moving parallel to a plane 202 223
Equations, of rigid body, with fixed axis 196 223
Equations, of rigid body, with fixed point 351 352 360
Equilibrium, of particle 39 40 69 70 262 301
Equilibrium, of rigid body, in space 273—278 301
Equilibrium, of rigid body, movable parallel to a fixed plane 62—64 70
Equilibrium, of system of particles 41—52 261—266 295—301
Equilibrium, stability of 214—222 223 296
Equimomental systems 326
Equipollent force systems 47—52 70 260 261 266—273 293 301
Equivalence, mechanical 9 10
Equivalence, of Galilean frames 480 481
Equivalent force systems 47 63 64
Equivalent simple pendulum 200 223
Erg 54
Euler — Bernouilli, law 96 114
Euler — Bernouilli, theory of beams 95—98 114
Euler's equations of motion 352 360
Euler's theorem 279 280 301
Eulerian angles 288—290
Eulerian angles, angular velocity in terms of 309 310
Event 11 478 498
Ewald, P.P. 88
Extension 96
External forces 41 42
Ferel's law 408
Ferry, E.S. 445
Fictitious forces 138 139 141—144 147 347—351 406
Field of force 66
Field, electromagnetic 381—403 412 413
Field, electrostatic 381 383—387 390—392 396 412
Field, gravitational 82—86 144 405
Field, magnetostatic 381 382 383—388 390—392 397 412
Field, scalar or vector 28
Field, uniform 67
|
|
|
| Ðåêëàìà |
|
|
|
|
|
Î ïðîåêòå