TABLE OF CONTENTS.

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LECTURE I.
THE COMPOSITION OF FORCES. PAGE

Introduction.—The Definition of Force.—The Measurement of Force.—Equilibrium of Two Forces.—Equilibrium of Three Forces.—A Small Force can sometimes balance Two Larger Forces

1
LECTURE II.
THE RESOLUTION OF FORCES.

Introduction.—One Force resolved into Two Forces.—Experimental Illustrations.—Sailing.—One Force resolved into Three Forces not in the same Plane.—The Jib and Tie-rod

16
LECTURE III.
PARALLEL FORCES.

Introduction.—Pressure of a Loaded Beam on its Supports.—Equilibrium of a Bar supported on a Knife-edge.—The Composition of Parallel Forces.—Parallel Forces acting in opposite directions.—The Couple.—The Weighing Scales

34
LECTURE IV.
THE FORCE OF GRAVITY.

Introduction.—Specific Gravity.—The Plummet and Spirit-Level.—The Centre of Gravity.—Stable and Unstable Equilibrium.—Property of the Centre of Gravity in a Revolving Wheel

50
LECTURE V.
THE FORCE OF FRICTION.

The Nature of Friction.—The Mode of Experimenting.—Friction is proportional to the pressure.—A more accurate form of the Law.—The Coefficient varies with the weights used.—The Angle of Friction.—Another Law of Friction.—Concluding Remarks

65
LECTURE VI.
THE PULLEY.

Introduction.—Friction between a Rope and an Iron Bar.—The Use of the Pulley.—Large and Small Pulleys.—The Law of Friction in the Pulley.—Wheels.—Energy

85
LECTURE VII.
THE PULLEY-BLOCK.

Introduction.—The Single Movable Pulley.—The Three-sheave Pulley-block.—The Differential Pulley-block.—The Epicycloidal Pulley-block

99
LECTURE VIII.
THE LEVER.

The Lever of the First Order.—The Lever of the Second Order.—The Shears.—The Lever of the Third Order

119
LECTURE IX.
THE INCLINED PLANE AND THE SCREW.

The Inclined Plane without Friction.—The Inclined Plane with Friction.—The Screw.—The Screw-jack.—The Bolt and Nut

131
LECTURE X.
THE WHEEL AND AXLE.

Introduction.—Experiments upon the Wheel and Axle.—Friction upon the Axle.—The Wheel and Barrel.—The Wheel and Pinion.—The Crane.—Conclusion

149
LECTURE XI.
THE MECHANICAL PROPERTIES OF TIMBER.

Introduction.—The General Properties of Timber.—Resistance to Extension.—Resistance to Compression.—Condition of a Beam strained by a Transverse Force

169
LECTURE XII.
THE STRENGTH OF A BEAM.

A Beam free at the Ends and loaded in the Middle.—A Beam uniformly loaded.—A Beam loaded in the Middle, whose Ends are secured.—A Beam supported at one end and loaded at the other

188
LECTURE XIII.
THE PRINCIPLES OF FRAMEWORK.

Introduction.—Weight sustained by Tie and Strut.—Bridge with Two Struts.—Bridge with Four Struts.—Bridge with Two Ties.—Simple Form of Trussed Bridge

203
LECTURE XIV.
THE MECHANICS OF A BRIDGE.

Introduction.—The Girder.—The Tubular Bridge.—The Suspension Bridge

218
LECTURE XV.
THE MOTION OF A FALLING BODY.

Introduction.—The First Law of Motion.—The Experiment of Galileo from the Tower of Pisa.—The Space is proportional to the Square of the Time.—A Body falls 16' in the First Second.—The Action of Gravity is independent of the Motion of the Body.—How the Force of Gravity is defined.—The Path of a Projectile is a Parabola

230
LECTURE XVI.
INERTIA.

Inertia.—The Hammer.—The Storing of Energy.—The Fly-wheel.—The Punching Machine

250
LECTURE XVII.
CIRCULAR MOTION.

The Nature of Circular Motion.—Circular motion in Liquids.—The Applications of Circular Motion.—The Permanent Axes

267
LECTURE XVIII.
THE SIMPLE PENDULUM.

Introduction.—The Circular Pendulum.—Law connecting the Time of Vibration with the Length.—The Force of Gravity determined by the Pendulum.—The Cycloid

284
LECTURE XIX.
THE COMPOUND PENDULUM AND THE
COMPOSITION OF VIBRATIONS.

The Compound Pendulum.—The Centre of Oscillation.—The Centre of Percussion.—The Conical Pendulum.—The Composition of Vibrations

299
LECTURE XX.
THE MECHANICAL PRINCIPLES OF A CLOCK.

Introduction.—The Compensating Pendulum.—The Escapement.—The Train of Wheels.—The Hands.—The Striking Parts

318
APPENDIX I.
The Method of Graphical Construction 339
The Method of Least Squares 342
APPENDIX II.
Details of the Willis Apparatus used in illustrating the foregoing lectures 345
Index 355

EXPERIMENTAL MECHANICS.

                                                                                                                                                                                                                                                                                                           

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