A Treatise on Hydrostatics and Hydrodynamics |
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Page 8
... length be the same in both equations , and take also the standard substance the same ; then the equation WsV implies that the unit of weight is the weight of an unit of volume of the standard substance , whereas from W = gp V , putting ...
... length be the same in both equations , and take also the standard substance the same ; then the equation WsV implies that the unit of weight is the weight of an unit of volume of the standard substance , whereas from W = gp V , putting ...
Page 8
... length be the same in both equations , and take also the standard substance the same ; then the equation WsV implies that the unit of weight is the weight of an unit of volume of the standard substance , whereas from W = gp V , putting ...
... length be the same in both equations , and take also the standard substance the same ; then the equation WsV implies that the unit of weight is the weight of an unit of volume of the standard substance , whereas from W = gp V , putting ...
Page 24
... upon by a force , varying as the distance , to the middle point of the axis of a cylinder ; if 2a be the length of the axis and c the radius of either end , shew that the whole pressure on the curved surface : the whole 24 EXAMPLES .
... upon by a force , varying as the distance , to the middle point of the axis of a cylinder ; if 2a be the length of the axis and c the radius of either end , shew that the whole pressure on the curved surface : the whole 24 EXAMPLES .
Page 56
... length of the axis , Then z the portion of the axis immersed , 2a the vertical angle of the cone . Akπ22 tan2 a . 22 tan2 a 4 and Vz3 tan a ; 1 3 3 4 3 3 also HG = h .. HM == % tan2 a ; and therefore the equilibrium is stable or ...
... length of the axis , Then z the portion of the axis immersed , 2a the vertical angle of the cone . Akπ22 tan2 a . 22 tan2 a 4 and Vz3 tan a ; 1 3 3 4 3 3 also HG = h .. HM == % tan2 a ; and therefore the equilibrium is stable or ...
Page 57
... length of the prism , 2lc2 sin 0. HM = PQ2 . PQ.1 , 12 HM = PQ 24c sin 0 • But PQ2 = 4 ( x2 + y2 - 2xy cos 0 ) B. H. .. HM : = 16 cos2 ( a2 cos22 - c " ) ; = 4 3 COS2 c2 sin 2 8 2 2 ( a2 cos2 — — c2 ) * , 2 8 0 and HM > HG , if c2 sin2 ...
... length of the prism , 2lc2 sin 0. HM = PQ2 . PQ.1 , 12 HM = PQ 24c sin 0 • But PQ2 = 4 ( x2 + y2 - 2xy cos 0 ) B. H. .. HM : = 16 cos2 ( a2 cos22 - c " ) ; = 4 3 COS2 c2 sin 2 8 2 2 ( a2 cos2 — — c2 ) * , 2 8 0 and HM > HG , if c2 sin2 ...
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Common terms and phrases
angle angular velocity axes axis vertical Cambridge centre of gravity centre of pressure co-ordinates cone constant curve cylinder D'Alembert's principle density depth determine direction disc displaced fluid distance dy dx dz dy elastic fluid equal pressure equilibrium filled with fluid floats fluid at rest fluid displaced fluid pressure force free surface function given Hence homogeneous horizontal plane immersed incompressible fluid inelastic latus rectum length mass of fluid mercury obtained orifice oscillations parallel particles perfect differential perpendicular piston portion position of equilibrium quantity of fluid radius ratio resultant pressure rotation shew solid specific gravity sphere spherical spheroid string suppose surfaces of equal temperature tension tube University of Cambridge vapour vertex vertical plane vessel vibrations volume wave weight whole pressure аф
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