Cambridge Senate-house Problems and Riders for the Year 1860: With SolutionsMacmillan, 1860 - 198 páginas |
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Página 16
... fluids of densities p , p ' to be poured into it , and r , r ' to be the distances of the two free surfaces respec- tively from ... fluid with one side in the surface ; shew how to draw a line from one extremity of this side dividing the ...
... fluids of densities p , p ' to be poured into it , and r , r ' to be the distances of the two free surfaces respec- tively from ... fluid with one side in the surface ; shew how to draw a line from one extremity of this side dividing the ...
Página 17
... fluid of uniform temperature is confined in a smooth vertical cylinder by a piston of given weight ; shew how to find the volume of the fluid . It is proved in Goodwin's Course , if pp ' be the pressures of the atmosphere at two points ...
... fluid of uniform temperature is confined in a smooth vertical cylinder by a piston of given weight ; shew how to find the volume of the fluid . It is proved in Goodwin's Course , if pp ' be the pressures of the atmosphere at two points ...
Página 18
... fluid . - W , p'A = W + W ' , Hence we have x = T ут log ( 1-7 ) k W · log W + W ' ' In this equation 7 is any very small quantity . If τ = 0 it is proved in the Course cited above , that the expression for x becomes k x = - .log g W + ...
... fluid . - W , p'A = W + W ' , Hence we have x = T ут log ( 1-7 ) k W · log W + W ' ' In this equation 7 is any very small quantity . If τ = 0 it is proved in the Course cited above , that the expression for x becomes k x = - .log g W + ...
Página 30
... fluid , and a rod specifically heavier than the fluid , rests with one end in contact with the concave surface of the bowl , and passes over the rim of the bowl , find an equation for de- termining the position of equilibrium . In this ...
... fluid , and a rod specifically heavier than the fluid , rests with one end in contact with the concave surface of the bowl , and passes over the rim of the bowl , find an equation for de- termining the position of equilibrium . In this ...
Página 31
... fluid , A and B the points where the rod rests against the concave surface and the rim of the bowl respec- tively . The forces acting on the rod are , ( 1 ) A force proportional to AB ( p - 1 ) vertically down- wards through G the ...
... fluid , A and B the points where the rod rests against the concave surface and the rim of the bowl respec- tively . The forces acting on the rod are , ( 1 ) A force proportional to AB ( p - 1 ) vertically down- wards through G the ...
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acceleration angular velocity Arabic numbers asymptotes attraction axes axis bisects Cambridge centre of force centre of gravity chord circle circular cloth co-ordinates cone conic conic section constant cos² Crown 8vo curvature cylinder described diameter differential equation direction directrix distance drawn dt dt ellipse ellipsoid equal angles equiangular spiral equilibrium extremity Fcap fixed point fluid foci focus given point Hence horizontal hyperbola inclined intersection latus rectum length locus MACMILLAN & CO.'S meridian motion normal parabola parallel particle perpendicular point of contact position pressure prove ratio respectively right angles Roman numbers SENIOR MODERATOR shew sides sin² singular solution smooth sphere spherical straight line string subtend surface tangent tension triangle Trinity College uniform vertex vertical Vis Viva weight аф
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