A Treatise on Hydromechanics, Parte1Deighton, Bell, 1891 - 268 páginas |
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Página 22
... centre , and therefore the moment of the acting forces about the centre must vanish . Let x , y , z be co ... PRESSURE AND DENSITY .
... centre , and therefore the moment of the acting forces about the centre must vanish . Let x , y , z be co ... PRESSURE AND DENSITY .
Página 24
... pressure of smooth surfaces , the equilibrium is stable , if the centre of gravity be in its lowest possible position . Hence it follows that , in the case of heterogeneous liquid , the density must increase with the depth , for ...
... pressure of smooth surfaces , the equilibrium is stable , if the centre of gravity be in its lowest possible position . Hence it follows that , in the case of heterogeneous liquid , the density must increase with the depth , for ...
Página 27
... pressure . The condition which determines the constant is that the volume of the fluid is given , and we have and V ... centre of gravity , and might in fact have been at once obtained by considering that the fluid is kept at rest by the ...
... pressure . The condition which determines the constant is that the volume of the fluid is given , and we have and V ... centre of gravity , and might in fact have been at once obtained by considering that the fluid is kept at rest by the ...
Página 31
... centre of gravity of the surface S , z.S = ffzdS ; .. the whole pressure = gpzS , i.e. the whole pressure is equal to the weight of a cylindrical column of fluid , the height of which is , and the base a plane area equal to the area of ...
... centre of gravity of the surface S , z.S = ffzdS ; .. the whole pressure = gpzS , i.e. the whole pressure is equal to the weight of a cylindrical column of fluid , the height of which is , and the base a plane area equal to the area of ...
Página 32
... centre of the top as origin , and measuring z downwards , p w2p2 = + gz . ρ 2 Let a be the radius of the cylinder , h its height ; then at a depth z , the pressure ... pressure vanishes at the other extremity of the dia- 32 WHOLE PRESSURE .
... centre of the top as origin , and measuring z downwards , p w2p2 = + gz . ρ 2 Let a be the radius of the cylinder , h its height ; then at a depth z , the pressure ... pressure vanishes at the other extremity of the dia- 32 WHOLE PRESSURE .
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Términos y frases comunes
action angular velocity attraction axes axis vertical catenary catenoid centre of gravity centre of pressure co-ordinates conditions of equilibrium cone constant cos² cylinder density depth determine displaced fluid distance dx dy Edition elastic Elastica equal pressure equation equilibrium equilibrium is stable F. A. Paley Fcap film fluid displaced fluid pressure force free surface given Hence homogeneous liquid horizontal immersed lamina latus rectum Lintearia mercury metacentre obtain oscillation parabola paraboloid parallel particle perpendicular plane of floatation portion position of equilibrium principal tensions prove quantity radius of curvature ratio resultant pressure rotation shew sin² solid solid of revolution sphere spherical spheroid supposed surface of revolution surfaces of equal tangent temperature tube vapour varies vertical angle vertical plane vessel volume weight whole pressure
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