# Mechanics for Beginners: With Numerous Examples

Macmillan, 1867 - 350 σελίδες

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### Περιεχόμενα

 STATICS 1 Parallelogram of Forces 9 Forces in one plane acting on a particle 23 Resultant of two Parallel Forces 30 Moments 38 Forces in one Plane 41 Constrained Body 53 Centre of Parallel Forces 61
 Virtual Velocities 152 Friction 164 Miscellaneous Propositions 177 Problems 187 Miscellaneous Examples in Statics 194 X 205 Velocity 207 a uniform force 214

 Centre of Gravity 66 Properties of the Centre of Gravity 89 The Lever 98 Balances 107 The Wheel and Axle The Toothed Wheel 116 The Pully 122 The Inclined Plane 133 The Wedge The Screw 140 Compound Machines 145
 Projectiles continued 248 Third Law of Motion 264 Laws of Motion General Remarks 295 Motion down a Smooth Curve 304 Uniform motion in a Circle 312 Motion in a Conic Section round a focus 324 Motion in an ellipse round the centre 331 Answers 339

### Δημοφιλή αποσπάσματα

Σελίδα 260 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Σελίδα 210 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Σελίδα 327 - ... that the squares of the periodic times are proportional to the cubes of the mean distances of the planets from the Sun.
Σελίδα 16 - Conversely, if three forces act on a particle, and each force is proportional to the sine of the angle between the other two...
Σελίδα 10 - ... represented in magnitude and direction by that diagonal of the parallelogram which passes through the particle.
Σελίδα 134 - This proportion teaches us that, when in equilibrium, the power is to the weight as the height of the plane is to its length.
Σελίδα 13 - The nature of force is now, and always will be, unknown.' Force is known only by its effects: A point or particle at rest cannot give itself any motion since there is no reason why it should move in one direction rather than another. But if the particle is not forced to move upon a determinate curve, the curve which it describes possesses a singular property, which has been discovered by metaphysical considerations, ie between any two points is less than on every other curve, if the body be free,...
Σελίδα 74 - The intersection of the straight lines which join the middle points of opposite sides of any quadrilateral, is the middle point of the straight line which joins the middle points of the diagonals (I.
Σελίδα 290 - A ball is projected in a given direction within a fixed horizontal hoop, so as to go on rebounding from the surface of the hoop ; find the limit to which the velocity will approach, and shew that it attains this limit in a finite time, e being less than 1.
Σελίδα 264 - If you press a stone with your finger, the finger is also pressed by the stone. If a horse draws a stone tied to a rope, the horse (if I may so say) will be equally drawn back towards the stone...