A Treatise on Hydromechanics, Parte1Deighton, Bell, 1891 - 268 páginas |
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Página 10
... cone having its axis vertical and vertex downwards , is greater than the density at the surface by a quantity varying as the depth of the point . Shew that the density of the liquid when mixed up so as to be uniform will be that of the ...
... cone having its axis vertical and vertex downwards , is greater than the density at the surface by a quantity varying as the depth of the point . Shew that the density of the liquid when mixed up so as to be uniform will be that of the ...
Página 35
... cone without weight , the vertical angle being 2a ; the vessel is filled with liquid and then suspended by a point in the rim : if ß be the inclination of the axis of the cone to the vertical , shew that 3 cot 28 = cot 2a cosec 2α . 4 ...
... cone without weight , the vertical angle being 2a ; the vessel is filled with liquid and then suspended by a point in the rim : if ß be the inclination of the axis of the cone to the vertical , shew that 3 cot 28 = cot 2a cosec 2α . 4 ...
Página 36
... cone , of vertical angle , is just filled with water , and has a generating line rigidly attached to a horizontal plane . The plane is caused to revolve with uni- form angular velocity about a vertical axis through the apex of the cone ...
... cone , of vertical angle , is just filled with water , and has a generating line rigidly attached to a horizontal plane . The plane is caused to revolve with uni- form angular velocity about a vertical axis through the apex of the cone ...
Página 37
... cone ( vertical angle 2a ) there is a centre of force the attraction to which varies as the distance ; and a given quantity of liquid is in equilibrium under the action of this force alone . Determine the form of α 2 ' 4 its free ...
... cone ( vertical angle 2a ) there is a centre of force the attraction to which varies as the distance ; and a given quantity of liquid is in equilibrium under the action of this force alone . Determine the form of α 2 ' 4 its free ...
Página 38
... cone , whose weight may be neglected , is suspended from a point in its rim ; it contains as much fluid as it can prove that the whole pressure upon its surface is ( cos ( 0 + a ) } 3 cos2 a ( cos ( -a ) 1 πpghs 3 sin a cos where h , 2a ...
... cone , whose weight may be neglected , is suspended from a point in its rim ; it contains as much fluid as it can prove that the whole pressure upon its surface is ( cos ( 0 + a ) } 3 cos2 a ( cos ( -a ) 1 πpghs 3 sin a cos where h , 2a ...
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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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