A Treatise on Hydromechanics, Part 1 |
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Page 5
... difference of the forces on QAB and QA'B ' ( the volumes of which are equal ) = the difference of the forces on APA ' and BPB ' = ( p'f ' - pf ) . vol . APA ' 2 = 8 ( pf ) . aAA ' , Зп and therefore p ' = p + + for 0 2 pfdx + AA ' . d ...
... difference of the forces on QAB and QA'B ' ( the volumes of which are equal ) = the difference of the forces on APA ' and BPB ' = ( p'f ' - pf ) . vol . APA ' 2 = 8 ( pf ) . aAA ' , Зп and therefore p ' = p + + for 0 2 pfdx + AA ' . d ...
Page 19
... difference of the pressures on its two faces must be due to the force , which must therefore act in the same direction as these pressures , i.e. in direction of the normal at P. If the forces are derivable from a potential , the ...
... difference of the pressures on its two faces must be due to the force , which must therefore act in the same direction as these pressures , i.e. in direction of the normal at P. If the forces are derivable from a potential , the ...
Page 37
... difference between the pressures at the surface and at any point within the fluid varies as the area of the least section of the sphere through the point . 27. At the vertex of a solid cone ( vertical angle 2a ) there is a centre of ...
... difference between the pressures at the surface and at any point within the fluid varies as the area of the least section of the sphere through the point . 27. At the vertex of a solid cone ( vertical angle 2a ) there is a centre of ...
Page 53
... difference of these , i.e. the vertical pressure on PR weight of fluid PR . = In a similar manner other cases may be discussed . It will be observed that this investigation applies also to the case of a heterogeneous liquid ( in which ...
... difference of these , i.e. the vertical pressure on PR weight of fluid PR . = In a similar manner other cases may be discussed . It will be observed that this investigation applies also to the case of a heterogeneous liquid ( in which ...
Page 56
... difference of the two is evidently the weight of the fluid displaced by the solid . 43. If a solid of given volume ( V ) be completely immersed in a heavy liquid , and if the surface of the solid consist partly of a curved surface , and ...
... difference of the two is evidently the weight of the fluid displaced by the solid . 43. If a solid of given volume ( V ) be completely immersed in a heavy liquid , and if the surface of the solid consist partly of a curved surface , 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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