A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page 4
... 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 ) , the whole pressure upon it will be equal to gp ab h . This result shews that , so long as h ...
... 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 ) , the whole pressure upon it will be equal to gp ab h . This result shews that , so long as h ...
Page 9
... side of the board being coincident with the surface ; to find the pressure on the board . If a denote the length of a horizontal and b of a vertical side of the board , and p the density of the fluid , the required pressure will be ...
... side of the board being coincident with the surface ; to find the pressure on the board . If a denote the length of a horizontal and b of a vertical side of the board , and p the density of the fluid , the required pressure will be ...
Page 10
... sides to the surface when the pressure is a maximum . If 2a , 2b , be two of its unequal sides , and the inclination to the horizon of the diagonal through the angle which is in the surface of the fluid , the pressure will be equal to ...
... sides to the surface when the pressure is a maximum . If 2a , 2b , be two of its unequal sides , and the inclination to the horizon of the diagonal through the angle which is in the surface of the fluid , the pressure will be equal to ...
Page 11
... sides of its polygonal base being a , and the height of each of its triangular faces being h . The required pressure is equal to gpnah h2 - 4a2 cot2 π 18. An ellipse is placed with its axis vertical and the ex- tremity of its axis major ...
... sides of its polygonal base being a , and the height of each of its triangular faces being h . The required pressure is equal to gpnah h2 - 4a2 cot2 π 18. An ellipse is placed with its axis vertical and the ex- tremity of its axis major ...
Page 16
... side of the vessel . Let a1 , a , a , ... a , be the portions of the axis of the cylinder which are occupied by the fluids of densities P1 , P2 , P3 ...... Pn respectively . Let z denote the depth of an annular strip 2πrdz of the ...
... side of the vessel . Let a1 , a , a , ... a , be the portions of the axis of the cylinder which are occupied by the fluids of densities P1 , P2 , P3 ...... Pn respectively . Let z denote the depth of an annular strip 2πrdz of the ...
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Common terms and phrases
ABCD Albert Girard altitude angular velocity aperture axis axis of revolution axis vertical base Bernoulli Bossut Traité Cambridge centre of gravity centre of pressure cone constant quantity cos² Daniel Bernoulli denote the density denote the length denote the radius depth determine distance dx dy Edition elastic equal equation filled with fluid floating fluid displaced free surface given hemisphere Hence humidum inclination incompressible fluid integrating James Bernoulli John Bernoulli lamina latus rectum mass motion oscillation parabola paraboloid of revolution parallel particles Phoronomia portion position of equilibrium position of rest problem ratio represent right angles sesquialterum sin² small orifice solid cylinder specific gravity sphere supposed Traité d'Hydrodynamique Treatise triangle tube vertex volume w³y² weight whole pressure
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