A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page v
... immersed solids 1 II . — Normal pressure of heterogeneous fluids on the surfaces of immersed solids 14 III . - Normal pressure of aeriform fluids of uniform temperature on the surfaces of solids 19 CHAPTER II . Resultant Pressures of ...
... immersed solids 1 II . — Normal pressure of heterogeneous fluids on the surfaces of immersed solids 14 III . - Normal pressure of aeriform fluids of uniform temperature on the surfaces of solids 19 CHAPTER II . Resultant Pressures of ...
Page 1
... Immersed Solids . LET K denote any indefinitely small element of the surface of a solid immersed in a fluid , and let z represent the depth of K below the surface of the fluid ; then , g denoting the accelerating force of gravity and p ...
... Immersed Solids . LET K denote any indefinitely small element of the surface of a solid immersed in a fluid , and let z represent the depth of K below the surface of the fluid ; then , g denoting the accelerating force of gravity and p ...
Page 2
... immersed solid is not known , and it cannot be subdivided into any finite number of areas of which the centres of gravity are known , the evaluation of the expression gp≥ ( Kx ) must be effected by means of the Integral Calculus . We ...
... immersed solid is not known , and it cannot be subdivided into any finite number of areas of which the centres of gravity are known , the evaluation of the expression gp≥ ( Kx ) must be effected by means of the Integral Calculus . We ...
Page 4
... immersed in a fluid ; to find the whole pressure upon it . Let a , b , be the lengths of two unequal sides , and h the depth of its centre of gravity , that is , of its middle point , below the surface of the fluid ; then , by COR . ( 1 ) ...
... immersed in a fluid ; to find the whole pressure upon it . Let a , b , be the lengths of two unequal sides , and h the depth of its centre of gravity , that is , of its middle point , below the surface of the fluid ; then , by COR . ( 1 ) ...
Page 5
... immersed vertically in a fluid with its vertex coincident with the surface of the fluid and its base horizontal ; to determine how it must be divided by a line parallel to the base , that the pressures upon the upper and lower portions ...
... immersed vertically in a fluid with its vertex coincident with the surface of the fluid and its base horizontal ; to determine how it must be divided by a line parallel to the base , that the pressures upon the upper and lower portions ...
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Common terms and phrases
Albert Girard altitude angular velocity aperture axem axes axis vertical base Bernoulli body Bossut Bossut Traité Cambridge centre of gravity centre of pressure coinciding cone cos² cube Daniel Bernoulli denote the density denote the length depth determine distance dx dy Edition efflux elastic equal equation filled with fluid floating fluid displaced force free surface given hemisphere Hence humidum Hydrodynamique immersed vertically inclination incompressible fluid James Bernoulli lamina late Fellow latus rectum motion parabola parallel particles portion position of equilibrium position of rest problem quæ ratio required pressure resultant pressure right angles sesquialterum sin² small orifice solid cylinder specific gravity sphere supposed tangent Treatise triangle Trinity College unit of pressure University of Cambridge vertex vertical line vessel volume weight whole pressure
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