Chapter 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