A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page 9
... distance of the opposite angle from this side ; then the required pressure will be equal to gpch2 . 11. A board in the shape of an isosceles right - angled triangle with the squares on its sides , is placed with the upper side of the ...
... distance of the opposite angle from this side ; then the required pressure will be equal to gpch2 . 11. A board in the shape of an isosceles right - angled triangle with the squares on its sides , is placed with the upper side of the ...
Page 13
... distance of each point in the periphery of the base from the vertex , the required pressure will be equal to ¦ægphr ( 21 + 3r ) .、 27. A solid hemisphere is immersed in a fluid with its axis inclined at an angle to the vertical , the ...
... distance of each point in the periphery of the base from the vertex , the required pressure will be equal to ¦ægphr ( 21 + 3r ) .、 27. A solid hemisphere is immersed in a fluid with its axis inclined at an angle to the vertical , the ...
Page 16
... distance of any point of the circular area from its centre , and 0 the inclination of this distance to the vertical . Then , the pressure on an elemental area rde dr being gB rde dr.p 2a rdo dr.x2 = gB 2a rdė dr . ( a - r cos 0 ) 2 ...
... distance of any point of the circular area from its centre , and 0 the inclination of this distance to the vertical . Then , the pressure on an elemental area rde dr being gB rde dr.p 2a rdo dr.x2 = gB 2a rdė dr . ( a - r cos 0 ) 2 ...
Page 21
... distances between the particles , occupying a similar 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 ...
... distances between the particles , occupying a similar 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 ...
Page 23
... distance , to determine the relation between the density and the elastic force of the fluid . Elastic force ( Density ) The converse proposition is also true . n + 2 3 Newton : Principia , Lib . 11. , Sect . 5 , Prop . 23 , Scholium ...
... distance , to determine the relation between the density and the elastic force of the fluid . Elastic force ( Density ) The converse proposition is also true . n + 2 3 Newton : Principia , Lib . 11. , Sect . 5 , Prop . 23 , Scholium ...
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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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