An Elementary Treatise on Dynamics: Containing Applications to Thermodynamics, with Numerous Examples

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Longmans, Green and Company, 1885 - 459 pàgines
 

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Pàgina 424 - It is impossible by means of inanimate material agency to derive mechanical effect from any portion of matter by cooling it below the temperature of the coldest of the surrounding objects.
Pàgina 7 - If a moving point possess simultaneously velocities which are represented in magnitude and direction by the two sides of a parallelogram drawn from a point, they are equivalent to a velocity which is represented in magnitude and direction by the diagonal of the parallelogram passing through the point.
Pàgina 167 - It has been found that, with respect to any two planets, the squares of the times of revolution are to each other in the same proportion as the cubes of their mean distances, — a most surprising result, for the discovery of which the world was indebted to the illustrious Kepler. Sir John Herschel truly observes...
Pàgina 31 - The result of such an impulsive force depends not only on the magnitude of the force but also on the duration of the action, even if this is very short.
Pàgina 424 - It is impossible for a self-acting machine, unaided by any external agency, to convey heat from one body to another at a higher temperature.
Pàgina 151 - ... times less than the earth would do if placed near its surface; but so small a force could produce no sensible effect. If two such spheres were distant but by V4 of an inch, they would not, even in spaces void of resistance, come together by the force of their mutual attraction in less than a month's time; and less spheres will come together at a rate yet slower, viz.
Pàgina 384 - ... before the highest point of generalization was reached, and which thus served as stepping-stones to the ultimate principles. Such were, as we have seen, the Principles of the Conservation of vis viva, the Principle of the Conservation of the Motion of the Centre of Gravity, and the like. These principles may, of course, be deduced from our elementary laws, and were finally established by mathematicians on that footing. There are other principles which may be similarly demonstrated ; among the...
Pàgina 170 - ... projected with a given velocity, and rebounds n times at a horizontal plane passing through the point of projection; determine the direction of projection so that the angle between the direction of projection and the direction of the ball immediately after the last impact may be the greatest possible. 16. If a body be projected with a given velocity about a centre of force which...
Pàgina 29 - Two bodies start together from rest, and move in directions at right angles to each other. One moves uniformly with a velocity of 3 feet per second ; the other moves under the action of a constant force. Determine the acceleration due to this force if the bodies at the end of 4 seconds are 20 feet apart.
Pàgina 29 - A body moves from rest under the action of a constant force ; how does it appear that the spaces described in successive seconds form an arithmetical progression?

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