INDEX.

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  • 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, 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, 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. 162THE END.

    RICHARD CLAY AND SONS, LIMITED, LONDON AND BUNGAY.

    Footnotes:

    [1] We shall often, in these lectures, represent feet or inches in the manner usual among practical men—1' is one foot, 1" is one inch. Thus, for example, 3' 4" is to be read “three feet four inches.” When it is necessary to use fractions we shall always employ decimals. For example, 0"·5 is the mode of expressing a length of half an inch; 3' 1"·9 is to be read “three feet one inch and nine-tenths of an inch.”

    [2] I ought to acknowledge the kindness with which Mr. J. Willis Clark, of Cambridge, the literary executor of Professor Willis, has responded to my queries, while I am also under obligations to the courtesy of Messrs. Crosby, Lockwood, & Co.

Transcriber’s Notes:


The illustrations have been moved so that they do not break up paragraphs and so that they are next to the text they illustrate.

Typographical errors have been silently corrected.






                                                                                                                                                                                                                                                                                                           

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