Mathematical and Physical Papers, 1903-1913

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Harvard University Press, 1926 - Mathematics - 444 pages
 

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Page 346 - If x and y denote the circumferential velocities, in the same direction, of the pulleys A, B where the cord is in contact with them, ^ (x + y) is the vertical velocity of the pendent pulleys.
Page 346 - In the electrical analogy the rotatory velocity of A corresponds to a current in a primary circuit, that of B to a current in a secondary. If when all is at rest the rotation of A be suddenly started, by force applied at the handle or otherwise, the inertia of the masses, E, F, opposes their sudden movement, and the consequence is that the pulley...
Page 224 - Two loaded coil d'Arsonval galvanometers have been constructed for me by Mr. Thompson. The first (V), shown in Figure 1, Plate 1, is about 76 centimeters high over all, and the gimp by which the coil is hung is 32 centimeters long. The brass disk, which is 11.4 centimeters in diameter, is rigidly attached to the rectangular frame (3 centimeters X 7 centimeters) upon which the copper wire coil is wound, and is accurately perpendicular to the axis of suspension. After the copper frame constructed for...
Page 186 - ... oscillating in a viscous liquid, in a direction perpendicular to the axis of the cylinder, Stokes found an equation of motion of this same familiar form which had long been used to explain the behavior of pendulums, though it had been founded on a theory quite different from his. As early as 1828 Bessel 7 had pointed out the necessity of allowing for the inertia of the air which accompanies a pendulum in its motion, and the work of Sabine, Dubuat, Poisson, Baily, Plana, South, and others, had...
Page 438 - Exciting Field. FIGURE 8 shows the form of the curve obtained by plotting the reciprocal of the susceptibility of soft iron against the intensity of the exciting field. The ratio of the abscissa of any point of the curve to the corresponding ordinate is less than the final value of...
Page 273 - I wish to express my great obligation to the Trustees of the Bache Fund of the National Academy of Sciences for the loan of some of the apparatus used in making the observations mentioned in this paper. THE JEFFERSON PHYSIcAL LABORATORY, CAMBRIDGE, MASS.
Page 347 - It consists of three smooth, parallel, horizontal steel bars on which masses m\, mt, m slide, the masses being separated from the bars by friction wheels ; the three masses are connected together by a light rigid bar which passes through holes in swivels fixed on the upper part of the masses ; the bar can slide backwards and forwards through these holes, so that the only constraint imposed by the bar is to keep the masses in a straight line.
Page 97 - This process yields the relation, (81) and it is possible to check the fact that (28) and (31) are equivalent by a straightforward but somewhat laborious comparison of the two. If o and X satisfy (31), a function £ exists which satisfies (22) and (23), functions...

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