Fundamental Ideas of Mechanics and Experimental Data

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D. Appleton, 1860 - Mechanics - 445 pages

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Page 304 - Thus the belt could be moved over a space of (j'56 ft. without the risk of the instruments being involved with the drums. A thread wound several times around the circumference of one of the grooves of the plate of each of the dynamometers, and attached by the other end to a fixed point, caused the plate to turn when the apparatus was in motion, and the paper with which the plate was covered received thus the trace of the style of the dynamometer. The belt being passed over the two drums, the tensions...
Page 136 - 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.
Page 302 - T', so that in no case the belt may slip. According to the theory of M. Prony, we have, at the instant of slipping, between the tension, T and T...
Page 430 - ... of being transparent. Q. How is the rapidity of flow, or the volume of air supplied a furnace-fire, estimated, when employing natural draft ? By means of an instrument contrived for measuring the force and velocity of currents of air, called an anemometer. Those composed of a small light fan wheel, whose motion is transmitted to a counter which registers the number of turns, are most certain and convenient for use, though they must previously be tested, or the 'relation existing between the velocity...
Page 303 - Q representing the greatest value which the difference of tensions should attain, to overcome the useful and passive resistances. "From this relation we may derive the smallest tension to be allowed to the driven portion of the belt, to prevent its slipping.
Page 310 - We все also that the diameter of the journals seems to have some influence upon the more or less complete expulsion of the unguent, and consequently upon the friction, so that the dimensions to be given them should not be determined from a consideration solely of their resistance to rupture. Recapitulating the summary of the experiments which Morin has made upon the friction of journals shows that it is nearly the same for woods and metals rubbing upon each other, and that its ratio to the pressure...
Page 66 - ... 16. If the system be acted on by no external forces, it follows that both u and h are constant in intensity and invariable in direction. This result might by analogy be named the principle of the Conservation of Momentum. This principle, as applied to linear momentum, is obviously equivalent to the principle of the conservation of motion of the centre of gravity : as applied to angular momentum, the constancy of direction of the axis of A and therefore of a plane perpendicular to it shews that...
Page 427 - HP, and rides at 12 miles an hour on level ground, and 10 miles an hour up an incline of 1 in 120. If .the man and his machine weigh 150 Ibs.
Page 304 - We may conceive tliat these two tensions can never be quite equal ; but that is not important, inasmuch as we have to deal only with their sum. This obtained, we load the plate with a weight which, being suspended upon the circumference by a cord of a diameter equal to the thickness of the belt, has the same lever arm as the tensions. That part of the belt opposed to this weight is stretched, and the part on the same side is slackened, and we trace the new curves of the flexure of the dynamometers....
Page 303 - All the circumstances of the transmission of motion will then be determined. " If these first values of T, T and T\ are not considered as sufficiently correct, we may obtain a nearer approximation by introducing them in the value of the pressure N, and thus deduce a more exact value of Q, which will serve to calculate anew T, then T and TV* Dynamometer Attachments.

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