Mechanics for Beginners: With Numerous Examples

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Macmillan and Company, 1878 - Всего страниц: 400
 

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Стр. 329 - ... that the squares of the periodic times are proportional to the cubes of the mean distances of the planets from the Sun.
Стр. 16 - Conversely, if three forces act on a particle, and each force is proportional to the sine of the angle between the other two...
Стр. 297 - 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.
Стр. 297 - Change of motion is proportional to the impressed force, and takes place in the direction of the straight line in which the force acts.
Стр. 239 - ... then the resultant velocity will be represented in magnitude and direction by the diagonal, drawn from that point, of the parallelogram constructed on the two straight lines as adjacent sides.
Стр. 167 - But in sliding motion the friction is not always the same as in the state bordering on motion: when there is a difference the friction is greater in the state bordering on motion than in actual motion. (3) The friction is independent of the velocity when there is sliding motion.
Стр. 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,...
Стр. 266 - 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...
Стр. 35 - The Arm of a couple is the perpendicular distance between the lines of action of the two forces...
Стр. 303 - Remembering that the resistance of the air varies as the square of the velocity, it might easily be shown that the strength should be at least eight times, instead of twice, as great.

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