Cambridge problems proposed by the moderators to the candidates for mathematical honors at the general examination, 1843, Τόμος 21843 - 30 σελίδες |
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Σελίδα 4
... fluids of different densities , find the ratio of the two parts into which the cylinder is divided by the common surface of the two fluids . 8. Describe the common low pressure steam - engine . Is it necessary that the steam should be ...
... fluids of different densities , find the ratio of the two parts into which the cylinder is divided by the common surface of the two fluids . 8. Describe the common low pressure steam - engine . Is it necessary that the steam should be ...
Σελίδα 6
... fluid that equilibrium may be possible . Shew that it is satisfied whenever the forces tend to fixed centres and are functions of the distance . 8. A small pencil is refracted through a prism in a plane perpendicular to its edge ; shew ...
... fluid that equilibrium may be possible . Shew that it is satisfied whenever the forces tend to fixed centres and are functions of the distance . 8. A small pencil is refracted through a prism in a plane perpendicular to its edge ; shew ...
Σελίδα 8
... fluid is let fall ; determine what the law of density of the fluid must be , in order that all its particles may be at rest , relatively to each other , during the motion . 11. A heavy uniform rod , suspended at its highest 8 CAMBRIDGE ...
... fluid is let fall ; determine what the law of density of the fluid must be , in order that all its particles may be at rest , relatively to each other , during the motion . 11. A heavy uniform rod , suspended at its highest 8 CAMBRIDGE ...
Σελίδα 15
... generated by the revolution of the curve 2-1 y around the axis of a , floats in a fluid with a portion ( 1 ) of the axis immersed . If the solid be depressed through ( 22π - 1 - 1 ) h , it CAMBRIDGE PROBLEMS , 1843 . 15.
... generated by the revolution of the curve 2-1 y around the axis of a , floats in a fluid with a portion ( 1 ) of the axis immersed . If the solid be depressed through ( 22π - 1 - 1 ) h , it CAMBRIDGE PROBLEMS , 1843 . 15.
Σελίδα 16
... fluid , ( neglecting the motion of the fluid . ) 12. In a curve described by a body in one plane by the action of a central force , the angle between the radius vector and the tangent varies as the time . Find the curve and law of force ...
... fluid , ( neglecting the motion of the fluid . ) 12. In a curve described by a body in one plane by the action of a central force , the angle between the radius vector and the tangent varies as the time . Find the curve and law of force ...
Άλλες εκδόσεις - Προβολή όλων
Cambridge Problems Proposed by the Moderators to the Candidates for ... Exam Papers Cambridge Univ Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
asymptotes axes axis centre of gravity circle conjugate diameters cosine curve cylinder determine developable surface diagonal double curvature dx a² ecliptic elastic string ellipse ellipsoid equal equilibrium Find dy Find the centre find the condition Find the equation Find the position Find the ratio fixed point fluid forces act fraction function given plane given point harmonic mean inclined plane January least common multiple MATHEMATICS AND NATURAL meridian minimum Moon's motion NATURAL PHILOSOPHY north polar distance number of terms orbit oscillations osculating plane parabola parallel parallelograms particle point of contact pole pressure projection prove the formula pulley PURE MATHEMATICS QUESTIONS IN PURE r₁ radii radius of curvature radius vector rays refracted rest right angle right-angled triangle roots segment shew smooth horizontal plane sphere spherical triangles surface tangents temperature touch vertex vertical plane x y z
Δημοφιλή αποσπάσματα
Σελίδα 3 - The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances...
Σελίδα 10 - But when a solid angle is formed by three plane angles, the sum of any two of them is greater than the third (Prop.
Σελίδα 10 - Triangles and parallelograms of the same altitude are to one another as their bases.
Σελίδα 6 - ... string passing over a pulley at the top of the inclined plane hangs vertically, supporting a weight (P).
Σελίδα 1 - To express the cosine of an angle of a spherical triangle in terms of the sines and cosines of the sides. Let ABC be a spherical triangle, O the centre of the sphere.
Σελίδα 8 - A Screw of Archimedes is capable of turning freely round its axis, which is fixed in a vertical position ; a heavy particle is placed at the top of the tube and runs down through it; determine the whole angular velocity communicated to the screw.