An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1868)
Smith, Augustus W. (Augustus William), 1802-1866 · New York : Harper · leaf 268
k of the surface will beurged horizontally by a centrifugal forcedirected from the axis, and verticallydownward by gravity. Let w be theangular velocity of the fluid, w the weightXi of the element k, and y its distance AM from the axis. Then (82) we have, for the centrifugal force Pof this element,… … and or LRkg=LkNM,Rg AM kg 0) v—g.w MN y MN PRESSURES ON IMMERSED SURFACES. 241 .. the subnormal MN=—= a constant, a property of theparabola. Hence the surface is a paraboloid of revolution.
Mechanics, Analytic
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