A Treatise on Hydromechanics, Part 1 |
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Page 55
... liquid displaced , and acts in a vertical line through its centre of gravity . The same reasoning evidently shews that the resultant pressure of an elastic fluid on any solid is equal to the weight of the elastic fluid displaced by the ...
... liquid displaced , and acts in a vertical line through its centre of gravity . The same reasoning evidently shews that the resultant pressure of an elastic fluid on any solid is equal to the weight of the elastic fluid displaced by the ...
Page 56
... 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 partly of known plane areas ; the resulting pressure ...
... 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 partly of known plane areas ; the resulting pressure ...
Page 58
... fluid which is at rest under the action of given forces , the resultant fluid pressure on the body will be equal to the resultant of the forces which would act on the displaced fluid . For we can imagine the solid removed and the gap ...
... fluid which is at rest under the action of given forces , the resultant fluid pressure on the body will be equal to the resultant of the forces which would act on the displaced fluid . For we can imagine the solid removed and the gap ...
Page 66
... displaced , and acts in a vertical line through its centre of gravity . Hence it follows that the weight of the body must be equal to the weight of the fluid ... fluid are necessarily arranged . If for instance a solid body float in water ,
... displaced , and acts in a vertical line through its centre of gravity . Hence it follows that the weight of the body must be equal to the weight of the fluid ... fluid are necessarily arranged . If for instance a solid body float in water ,
Page 68
... fluid pressure , which is the same as the difference between the moments of the rect- angle AK , and of twice the ... liquid displaced . When there is equilibrium the area APQ is to ABC in the ratio of the density of the prism to the ...
... fluid pressure , which is the same as the difference between the moments of the rect- angle AK , and of twice the ... liquid displaced . When there is equilibrium the area APQ is to ABC in the ratio of the density of the prism to the ...
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Common terms and phrases
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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