INDEX.
- A.
- Accident, risk of, 32
- Action, 6
- Adapter, Willis apparatus, 352
- Angle of friction, 78
- of statical friction, 80
- Apparatus for centre of gravity, 62
- for equilibrium of three forces, 7
- to show friction, 65, 78
- the Willis, 345
- Appendix I., 339
- Atwood’s machine, 232
- Axes, permanent, 279
- B.
- Balance, defective, 48
- spring, 16
- Bar, equilibrium of a, 38
- Bat, cricket, 309
- Beam, breadth of, 193
- breaking load of, 193, 196
- cast iron, 222
- collapse of, 186
- deflection of, 179
- elasticity of, 184
- load on, 197
- placed edgewise, 193
- strained, 178
- strength of, 190
- uniformly loaded, 198
- with both ends secured, 200
- with one end secured, 201
- Beds in Willis apparatus, 346
- Bob, raising or lowering the, 320
- Bolts, use of, in Willis apparatus, 346
- Bracket, Willis apparatus, 350
- Brass, specific gravity of, 56
- Breaking load, 177
- Bridge, deflection of, 208
- mechanics of, 218
- Menai, 218
- suspension, 225
- the Wye, 215
- tubular, 223
- with four struts, 210
- two struts, 206
- two ties, 211
- Brunei, Sir J., the Wye bridge, 215
- C.
- Capstan, 151
- Cast iron beam, 222
- Catenary, 226
- Cathetometer, 180
- Centre of gravity, 57
- of a wheel, 61
- position of, 59
- oscillation, 304
- percussion, 307
- Circular motion, 267
- action of, 271
- applications of, 276
- cause of, 270
- in governor-balls, 276
- in sugar refining, 276
- nature of, 267
- on liquids, 271
- on the earth, 276
- Circular pendulum, 284
- Clamps, 203
- Clock pendulum, 299
- principles of, 318
- rate of, 322
- Coefficient of friction, 74, 82
- Collapse of a beam, 186
- Compensating pendulum, 319
- Composition of forces, 1, 9
- parallel forces, 35, 37, 42
- vibrations, 299, 315
- Conical pendulum, 310
- Couple, 44
- Crane, 29, 162
- friction in, 166
- mechanical efficiency of, 165
- Table XXI. 165
- XXII. 166
- velocity, ratio of, 163
- Cricket bat, 309
- Crowbar, 123
- Cycloid, 295
- D.
- Dead-beat escapement, 328
- Definition of force, 2
- Deflection of a beam, Table XXIII. 182
- Differential pulley, 112
- Table XI. 114
- Direction of a force, 5
- E.
- Eade, Mr., epicycloidal pulley-block, 116
- Easter Island, 100
- Elasticity of beam, 184
- Energy, 85, 94
- storage of, 256, 258
- unit of, 95
- Engine, locomotive, 83
- Epicycloidal pulley-block, 80, 116
- Table XII. 118
- Equilibrium, neutral, 61
- of a bar, 38, 41
- three forces, 6
- two forces, 6
- stable, 59
- unstable, 59
- Escapement, 324
- dead-beat, 328
- recoil, 328
- Expansion of bodies, 321
- Experiment by M. Plateau, 273
- F.
- Fall in a second, 239
- Falling body, motion of, 230
- Feet, how represented, 7
- Fibres in state of compression, 184
- tension, 184
- First law of motion, 230
- Fly-wheel, 260
- in steam-engine, 262
- Foot-pound, 95
- Force, a small, and two larger, 12
- definition of, 2
- destroying motion, 3
- direction of a, 5
- magnitude of a, 4
- measurement of, 4
- of friction, 65
- gravity, 50
- one, resolved into three, 26
- two, 17
- representation of, 5
- standard of, 4
- Forces, composition of, 1, 9
- equilibrium of three, 6
- two, 6
- illustrations of, 3
- in inclined plane, 136
- parallel, 34
- parallelogram of, 10
- resolution of, 16
- Formula for pulley-block, 109, 114
- Framework, 203, 345
- Friction, 65
- accurate law of, 75
- a force, 66
- and pressure, 72
- angle of, 78
- angle of statical, 80
- apparatus to show, 65, 68, 78
- caused by roughness, 66
- coefficient of, 74, 82
- diminished, 66
- excessive, 115
- experimenting on, 66
- in crane, 166
- differential pulley-block, 113
- inclined plane, 132
- lever, 123
- pulleys, 89
- law of, 91
- rope and iron bar, 87
- wheel and axle, 153
- wheel and barrel, 158
- laws of, 73, 81, 82
- mean, 75
- motion impeded by, 70
- nature of, 65
- overcoming, 93
- Table I. 69
- II. 71
- III. 74
- IV. 76
- V. 78
- VI. 81
- VII. 81
- VIII. 81
- upon axle, 155
- wheels, 93
- G.
- Galileo and falling bodies, 235
- kinetics, 230
- the pendulum, 284
- tower of Pisa, 233
- Gathering pallet, 336
- Girder, 219
- as slight as possible, 221
- Governor-balls, 276
- Graham, dead-beat escapement, 328
- Graphical construction, 339
- Gravity, 50
- action of, 243
- and the pendulum, 292
- and weight, 52
- centre of, 57
- defined, 246
- different effects of, 53
- independent of motion, 241
- in London, 292
- specific, 53
- Grindstone, treadle of, 128
- H.
- Hammer, 252
- theory of the, 252
- Hands of a clock, 331
- Horse-power, 96
- I.
- Illustration of parallelogram of forces, 10
- Illustrations of forces, 10
- resolution, 19
- Inches, how represented, 7
- Inclination of thread, 140
- Inclined plane, 131
- forces on, 136
- friction in, 132
- mechanical efficiency of, 139
- Table XIII. 134
- XIV. 137
- XV. 138
- velocity, ratio of, 139
- Inertia, 250
- inherent in matter, 252
- Iron girders, 219
- specific gravity of, 55
- Isochronous simple pendulum, 303
- Ivory, specific gravity of, 56
- J.
- Jib, 29, 163
- K.
- Kater, Captain, 305
- Kinetics, 230
- L.
- Large wheels, advantages of, 93
- Law of falling bodies, 238
- friction in pulleys, 91
- lever of first order, 122
- pressure, 37
- Laws of friction, 73, 81, 82
- Lead, specific gravity of, 56
- Leaning tower of Pisa, 233
- Level, 56
- Lever, 119
- and friction, 123
- applications of, 123
- arm, Willis apparatus, 352
- laws of, 130
- of first order, 119
- law of, 122
- of second order, 124
- of third order, 128
- weight of, 121
- Lifting crane, 29
- Line and plummet, 56
- Load, breaking, 177
- Locomotive engine, 83
- M.
- Machine, Atwood’s, 232
- punching, 263
- Machines, pile-driving, 255
- Magnitude of a force, 4
- Margin of safety, 33
- Mass, 236
- Mean frictions, 75
- Measurement of force, 4
- Mechanical powers, 85, 100
- apparatus, Willis, 345
- Menai Bridge, 218
- Method of least squares, 342
- Moment, 130
- Monkey, 257
- Motion, first law of, 230
- of falling body, 230
- N.
- Neutral equilibrium, 61
- Newton and gravity, 289
- Nut, 140
- O.
- Oscillation, centre of, 304
- P.
- Pair of scales, 48
- testing, 48
- Parabola, 226
- Parallel forces, 34
- composition of, 35, 37, 42
- opposite, 44
- resultant of, 43
- Parallelogram of forces, 10
- Path of a projectile, 247
- Pendulum and gravity, 292
- circular, 284
- compensating, 319
- compound, 299, 301
- conical, 310
- formula for, 292
- Galileo and the, 286
- isochronous simple, 303
- length of the seconds, 292, 318
- motion of the, 285
- of a clock, 299
- simple, 284
- time of oscillation, 286, 289
- Percussion, centre of, 307, 309
- Permanent axes, 279
- Pile-driving machines, 255
- Plateau, M., experiment by, 273
- Plummet, 56
- Powers, mechanical, 85
- Pressure and friction, 72
- law of, 37
- of a loaded beam, 35, 37
- Principles of framework, 203
- Projectile, path of, 247
- Pulley-block, 99
- differential, 110
- epicycloidal, 80
- three-sheave, 106
- velocity, ratio of, 112
- Pulley, ordinary form of, 86
- single movable, 101
- fixed, 86
- use of, 88
- velocity, ratio of, 103
- Pulleys, friction in, 89
- in windows, 86
- in Willis apparatus, 349
- Punching machine, 263
- force of, 265
- R.
- Rack, 334
- Reaction, 6
- Recoil escapement, 328
- Rectangle in Willis apparatus, 348
- Representation of a force, 5
- Resistance to compression, 172, 175
- extension, 172
- Resolution of forces, 16
- one force into three, 26
- two, 17
- Resultant, 9
- of parallel forces, 43
- Rings in Willis apparatus, 352
- Risk of accident, 32
- S.
- Safety, margin of, 33
- Sailing, 21
- against the wind, 24
- Scales, 46
- Screw, 139
- and wheel and axle, 167
- form of, 139
- Table XVI. 142
- velocity, ratio of, 143
- Screw bolt and nut, 148
- jack, 131, 145
- Table XVII. 146
- Second, fall in a, 239
- Seconds, pendulum, 318
- Shafts, Willis apparatus, 351
- Shears, 126
- Simple pendulum, 284
- Single movable pulley, Table IX. 104
- Snail, 334
- Specific gravity, 53
- of brass, 56
- iron, 55
- ivory, 56
- lead, 56
- Spirit-level, 56
- Spring balance, 16
- Stable equilibrium, 59, 282
- Standard of force, 4
- Statical friction, angle of, 80
- Stool in Willis apparatus 347
- Storage of energy, 256, 258
- Stored-up energy exhibited, 261
- Strength of a beam, 190
- Striking parts, 333
- Structures, 169
- Strut, 28
- Stud socket in Willis apparatus, 349
- Sugar refining, 276
- Suspension bridge, 225
- mechanics of, 225
- tension in, 228
- T.
- Table I. 69
- II. 71
- III. 74
- IV. 76
- V. 78
- VI. 78
- VII. 81
- VIII. 81
- IX. 104
- X. 108
- XI. 114
- XII. 118
- XIII. 134
- XIV. 137
- XV. 138
- XVI. 142
- XVII. 146
- XVIII. 154
- XIX. 159
- XX. 162
- XXI. 165
- XXII. 166
- XXIII. 182
- XXIV. 190
- Tacking, 25
- Tension along a cord, 17
- Three-sheave pulley-block, 106
- Tie, 28, 175
- rod, 29, 32
- Timber, bending, 171
- compression of, 172
- extension of, 172
- properties of, 170
- rings in, 171
- seasoning, 171
- warping, 171
- Tin, 223
- Toothed wheels, 160
- Tower of Pisa, 233
- Train of wheels, 330
- Transverse strain, 181
- Treadle of a grindstone, 128
- Tripod, 28
- strength of, 28
- Truss, simple form of, 212
- Tube fitting, Willis apparatus, 351
- Tubular bridge, 223
- U.
- Unstable equilibrium, 59, 282
- V.
- Velocity, 231
- ratio of inclined plane, 139
- pulley, 103
- pulley-block, 112
- screw, 143
- wheel and axle, 152
- wheel and pinion, 161
- Vibrations, composition of, 299, 315
- W.
- Wedge, 139
- Weighing machines, 123
- scales, 46, 48
- Weight caused by gravity, 52
- of water, 54
- Wheel and axle, 149
- and differential pulley, 167
- screw, 167
- experiments on, 152
- formula for, 154
- friction in, 153
- Table XVIII. 154
- velocity, ratio of, 152
- Wheel and barrel, 158
- formula for, 160
- friction in, 158
- Table XIX. 159
- Wheel and pinion, 160
- efficiency of, 161
- Table XX. 162
- velocity, ratio of, 161
- Wheel, centre of gravity of, 61
- Wheels, 92
- friction, 93
- Wheels in Willis apparatus, 348
- Willis system of apparatus, 345
- Winch, 151
- Wind, direction of, 22
- Work, 85, 94
- Wye Bridge, 215
THE END.
RICHARD CLAY AND SONS, LIMITED, LONDON AND BUNGAY.