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 264
made to revolveuniformly about a vertical axis, the surface of the fluid will takethe form of a paraboloid of revolution. Let the vessel ABCD revolve uni-formly about the vertical axis XXx.Any element k of the surface will beurged horizontally by a centrifugal forcedirected from the axis, and… … P=< w •y g Being urged vertically downward by its weight w, the surfaceof the element will be perpendicular to the resultant &R=Rof these two forces. If this resultant be produced to meet the axis in N, we have and or Rg kM kg , wcry— —I:W MN y MN*
Mechanics, Analytic
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