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An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1849)

Smith, Augustus William, 1802-1866 · New York, Harper · leaf 277

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1849, leaf 277
k referred tothe rectangular axes AY andAX, and hk=h the verticaldistance of the element be-low the surface of the fluid.Then the normal pressure p on k will be p=gphk. The pressure on each element will be of the same form, andtheir sum or resultant R will be R=2.p. The moment of each partial… … 254 HYDROSTATICS. co-ordinates of the point of application C of the resultant R,we have (Art. 43) R = 2.p, Rx=2px, Ry=2.py. If 6 be the inclination of the side of the vessel, or immersedsurface to the surface of the fluid, we have h=x sin. 6.Hence p=gpxk sin. 6, and R=2.gpxk sin. 0=gp sm. O.l.xk,…

Mechanics, Analytic

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