A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page 10
... angular points being at depths h , h ' , h " , below the surface of the fluid ; to find the pressure on the triangle . The pressure is equal to gpA ( h + h ' + h " ) . 15. A rod , inclined at any angle to the horizon , is just immersed ...
... angular points being at depths h , h ' , h " , below the surface of the fluid ; to find the pressure on the triangle . The pressure is equal to gpA ( h + h ' + h " ) . 15. A rod , inclined at any angle to the horizon , is just immersed ...
Page 88
... angular displacement , supposed to be impressed upon the solid about a certain line in the plane of floatation at right angles to the section of symmetry , is indefinitely small , and that the volume of the displaced fluid is the same ...
... angular displacement , supposed to be impressed upon the solid about a certain line in the plane of floatation at right angles to the section of symmetry , is indefinitely small , and that the volume of the displaced fluid is the same ...
Page 89
... angular displacement about a line in its plane of floatation at right angles to two of its faces . Let a = the length , and b = the breadth of its plane of float- ation , and c = the depth of the parallelopiped , the line of rotation ...
... angular displacement about a line in its plane of floatation at right angles to two of its faces . Let a = the length , and b = the breadth of its plane of float- ation , and c = the depth of the parallelopiped , the line of rotation ...
Page 102
... angular dis- placement of the cone , the fluid PAQ will act on the solid portion of the cone vertically downwards through M , and the fluid P'OQ ' will act upon it vertically upwards through M ' . If the equilibrium be neutral , the ...
... angular dis- placement of the cone , the fluid PAQ will act on the solid portion of the cone vertically downwards through M , and the fluid P'OQ ' will act upon it vertically upwards through M ' . If the equilibrium be neutral , the ...
Page 126
... angular velocity w about a fixed axis under the action of any system of forces , each of which is either parallel to this axis or tends towards a fixed point within it , the relation between the pressure , density , and impressed forces ...
... angular velocity w about a fixed axis under the action of any system of forces , each of which is either parallel to this axis or tends towards a fixed point within it , the relation between the pressure , density , and impressed forces ...
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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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