The Elements of Mechanics a Text book for Colleges And Technical Schools

Cover The Elements of Mechanics a Text book for Colleges And Technical Schools
The Elements of Mechanics a Text book for Colleges And Technical Schools
William S William Suddards Franklin
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The total force /% Fig. 113, is equal to the area of the gate w(x // x') multiplied by the average pressure o. 434(. R // -f- x f ~] /2, w being the horizontal width of the gate ; and the torque action of F about any conveniently chosen point is equal to the sum of the torque actions, about the same point, of the forces acting on the various elements of the surface of the gate. Consider a horizontal strip of the gate distant x beneath the surface of the water and of which the vertical breadth i...s dx. The force acting on this strip is 0. 434^ X "wdx y and the torque action of this force about a point at the surface of the water (lever arm x) is o.^.^x^y^'wdx. Therefore the total torque action, about the chosen point, of the forces acting on the gate is equal to 0. 434W whence, placing this equal to the torque action we have equation (61).
113. Measurement of pressure. The barometer. The barom- eter consists of a glass tube T, Fig. 114, rilled with mercury and inverted in an open vessel of mercury CC, the tube being of such length that an empty space V is left in which the pressure is zero.


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