An Elementary Treatise on Dynamics: Containing Applications to Thermodynamics, with Numerous ExamplesLongmans, Green and Company, 1885 - 459 Seiten |
Inhalt
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Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
acceleration accordingly acting angular velocity axes fixed axis of rotation central orbit centre of force centre of inertia centrifugal force circle coefficient coefficient of restitution collision components constant coordinates corresponding cos² curve D'Alembert's Principle denote described determine direction distance dt dt dt2 dt2 Earth elastic equations of motion example fixed axis fixed in space fixed point friction given gravity Hence horizontal plane impact impulse inclined plane initial instant instantaneous axis mass momentum axis moving orbit parabola parallel particle pendulum perpendicular position pressure projected radius represented result right angles rigid body rotation round simple harmonic motion sin² smooth sphere string suppose T₁ tangent temperature tion vertical vis viva viva weight zero Ση аф
Beliebte Passagen
Seite 432 - 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.
Seite 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.
Seite 173 - 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...
Seite 390 - ... 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...
Seite 89 - Sun at one focus, and at distances related to the periodic times in accordance with Kepler's third law : the squares of the periodic times vary as the cubes of the semimajor axes.
Seite 176 - ... 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...
Seite 131 - A heavy body starting from rest slides down a smooth plane, inclined 30" to the horizon. How many seconds will it occupy in sliding 240 feet down the plane, and what will be its velocity after traversing this distance? [#=32.] 5. What is the ' Kinetic energy ' of a moving mechanical system ? A shot of 1000 Ibs.
Seite 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.
Seite 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?
Seite 433 - It is impossible, by the unaided action of natural processes, to transform any part of the heat of a body into mechanical work, except by allowing heat to pass from that body into another at a lower temperature.