A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page 2
... position of its centre of gravity are known , this corollary enables us at once to determine the whole pressure upon it . COR . 2. Suppose that the area A is divisible into a finite number of areas of known magnitudes , A ,, A , A , & c ...
... position of its centre of gravity are known , this corollary enables us at once to determine the whole pressure upon it . COR . 2. Suppose that the area A is divisible into a finite number of areas of known magnitudes , A ,, A , A , & c ...
Page 8
... a point in its edge uppermost ; to find its position when the sum of the pressures on the curve and the plane surfaces is the greatest possible . Let be the inclination of the axis of the hemisphere 8 NORMAL PRESSURE OF FLUIDS .
... a point in its edge uppermost ; to find its position when the sum of the pressures on the curve and the plane surfaces is the greatest possible . Let be the inclination of the axis of the hemisphere 8 NORMAL PRESSURE OF FLUIDS .
Page 9
... position . 9. A rectangular board is immersed vertically in a fluid , one 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 ...
... position . 9. A rectangular board is immersed vertically in a fluid , one 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 ...
Page 21
... position inter se in both the spaces , will be as the sides AB , ab , of the cubes , and the densities of the media reciprocally as the containing spaces , viz . the cube of AB and the cube of ab . In the plane face of the greater cube ...
... position inter se in both the spaces , will be as the sides AB , ab , of the cubes , and the densities of the media reciprocally as the containing spaces , viz . the cube of AB and the cube of ab . In the plane face of the greater cube ...
Page 22
William Walton. particles in the two cubes being the same and their positions being similar , the total mutual pressures of the two portions of the fluids at the planes FGH , fgh , are as the mutual repulsive forces of two similar ...
William Walton. particles in the two cubes being the same and their positions being similar , the total mutual pressures of the two portions of the fluids at the planes FGH , fgh , are as the mutual repulsive forces of two similar ...
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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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