A Treatise on Hydromechanics, Part 1 |
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Page 34
... side in the surface , 2nd , on a circular area just immersed . 5. A parabolic area , bounded by the latus rectum , is ... sides with the weight of the fluid . 8. Prove that if the forces per unit of mass at x , y , z parallel to the axes ...
... side in the surface , 2nd , on a circular area just immersed . 5. A parabolic area , bounded by the latus rectum , is ... sides with the weight of the fluid . 8. Prove that if the forces per unit of mass at x , y , z parallel to the axes ...
Page 35
... side opposite to that on which the fluid is ; and a is the radius of the free spherical surface of the fluid : shew that the whole pressure on the plane πρμ = ( a − c ) 2 . α 16. Find the surfaces of equal pressure for fluid acted upon ...
... side opposite to that on which the fluid is ; and a is the radius of the free spherical surface of the fluid : shew that the whole pressure on the plane πρμ = ( a − c ) 2 . α 16. Find the surfaces of equal pressure for fluid acted upon ...
Page 50
... sides , contains two liquids which do not mix ; to find the resultant pressure on one of the sides , and the centre of pressure . Let p be the density and h the depth of the upper liquid , p ' , h ' , corresponding quantities for the ...
... sides , contains two liquids which do not mix ; to find the resultant pressure on one of the sides , and the centre of pressure . Let p be the density and h the depth of the upper liquid , p ' , h ' , corresponding quantities for the ...
Page 51
... side about its line of intersection with the surface = [ " gpbe ° dz + f g ( ph + p ́2 ) b ( h + z ) de : performing the integrations , and dividing by the expression for the resultant pressure investigated above , we obtain the depth ...
... side about its line of intersection with the surface = [ " gpbe ° dz + f g ( ph + p ́2 ) b ( h + z ) de : performing the integrations , and dividing by the expression for the resultant pressure investigated above , we obtain the depth ...
Page 59
... sides , is placed with its axis vertical and vertex downwards and is filled with fluid . Each side of the vessel is moveable about a hinge at the vertex , and is kept in its place by a string fastened to the middle point of its base and ...
... sides , is placed with its axis vertical and vertex downwards and is filled with fluid . Each side of the vessel is moveable about a hinge at the vertex , and is kept in its place by a string fastened to the middle point of its base and ...
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Common terms and phrases
2nd edition 3rd edition 4th edition Aeneid angular velocity axis vertical body Books Camb Cambridge catenary catenoid centre of gravity centre of pressure cone constant cos² Crown 8vo curvature cylinder Demy 8vo density depth distance dx dy dy dx elastic English equal pressure equation equilibrium equilibrium is stable F. A. PALEY Fcap floats fluid pressure force free surface given horizontal immersed J. H. FREESE John's College lamina latus rectum LL.D mass mercury metacentre obtain paraboloid particle perpendicular plane of floatation position of equilibrium prove quantity radius resultant pressure revised revolution rotation sewed shew Small post 8vo solid solid of revolution spherical spheroid surface of revolution surfaces of equal tangent temperature Texts Translated Trinity College vertex vessel vols volume weight whole pressure
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