Solutions of the problems and riders proposed in the Senate-house examination for 1854, by the moderators and examiners |
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Page 14
... fluid : find the depth of the centre of pressure of the area included between the immersed asymptote , the curve , and two given horizontal lines in the plane of the hyperbola . Let BB'C'C ( fig . 10 ) be the included area . Draw PM ...
... fluid : find the depth of the centre of pressure of the area included between the immersed asymptote , the curve , and two given horizontal lines in the plane of the hyperbola . Let BB'C'C ( fig . 10 ) be the included area . Draw PM ...
Page 10
... dz 2 + dx dy dx dy dx dy dy3 \ dx / 6. Investigate the general equations of fluid motion ; and from them the differential equation of the surfaces of equal pressure , d be incidenta im deviations and thence in a pure spe 210 ...
... dz 2 + dx dy dx dy dx dy dy3 \ dx / 6. Investigate the general equations of fluid motion ; and from them the differential equation of the surfaces of equal pressure , d be incidenta im deviations and thence in a pure spe 210 ...
Page 11
... fluid is contained in a closed vessel , rotating with unform angular velocity about a vertical axis , and is at rest relatively to the vessel . How is the constant to be determined in integrating for the pressure at any given point ? 7 ...
... fluid is contained in a closed vessel , rotating with unform angular velocity about a vertical axis , and is at rest relatively to the vessel . How is the constant to be determined in integrating for the pressure at any given point ? 7 ...
Page 14
... fluid : find the depth of the centre of pressure of the area included between the immersed asymptote , the curve , and two given horizontal lines in the plane of the hyperbola . Let BB'C'C ( fig . 10 ) be the included area . Draw PM ...
... fluid : find the depth of the centre of pressure of the area included between the immersed asymptote , the curve , and two given horizontal lines in the plane of the hyperbola . Let BB'C'C ( fig . 10 ) be the included area . Draw PM ...
Page 72
... fluid , in such a manner that the volume of fluid displaced were equal to the volume contained in the given cylindrical vessel ; for the pressures would be the same in the two cases , except that in the one they would act downwards and ...
... fluid , in such a manner that the volume of fluid displaced were equal to the volume contained in the given cylindrical vessel ; for the pressures would be the same in the two cases , except that in the one they would act downwards and ...
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Solutions of the Problems and Riders Proposed in the Senate-House ... Exam Papers Cambridge Univ No preview available - 2016 |
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angular velocity asymptote axes Cambridge catenary centre of force centre of gravity chord circle cloth conic section constant cos² cose cosẞ cota cotß Crown 8vo curvature curve cylinder denoting described diameter direction distance dx dy dy dx ecliptic elastic ellipse equal equation equilibrium Fellow of St fixed point fluid geometrical progression given Hence horizontal hyperbola inclined plane intersection lamina latus rectum length locus longitude M.A. Fellow major axis middle point motion orbit parabola parallel particle passing perpendicular position pressure projection prove radius refraction right angles ring shew sides Similarly sine sino sinẞ straight line string Supposing surface tana tangent tanß triangle Trinity College tube V₁ vertical
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