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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Αποτελέσματα 1 - 5 από τα 5.
Σελίδα 8
... string is fastened , rests against another smooth plane inclined at an angle ( a ) to the horizon ; the string passing over a pulley at the top of the inclined plane hangs vertically , supporting a weight ( P ) . Shew that the beam will ...
... string is fastened , rests against another smooth plane inclined at an angle ( a ) to the horizon ; the string passing over a pulley at the top of the inclined plane hangs vertically , supporting a weight ( P ) . Shew that the beam will ...
Σελίδα 9
... string moves on a smooth horizontal plane , the other end of the string being fixed to a point in that plane . If the path of the particle be a circle , shew that r2 ∞ r ra - a stretched length of the string , and , a being the natural ...
... string moves on a smooth horizontal plane , the other end of the string being fixed to a point in that plane . If the path of the particle be a circle , shew that r2 ∞ r ra - a stretched length of the string , and , a being the natural ...
Σελίδα 15
... string . Find the position of unstable equilibrium in which they will rest ; and the increase of length of the string . 7. The circular base of a cone remains constant , while the vertex moves in a segment of a circle described on a ...
... string . Find the position of unstable equilibrium in which they will rest ; and the increase of length of the string . 7. The circular base of a cone remains constant , while the vertex moves in a segment of a circle described on a ...
Σελίδα 19
... string is laid upon a smooth double inclined plane in such a manner as to remain at rest ; find how much the string is stretched . 10. Two wheels revolving uniformly in the same plane are suddenly brought in contact , and their axes are ...
... string is laid upon a smooth double inclined plane in such a manner as to remain at rest ; find how much the string is stretched . 10. Two wheels revolving uniformly in the same plane are suddenly brought in contact , and their axes are ...
Σελίδα 29
... string . Find the ratio of the numbers of longitudinal and transverse vibrations which constitute the fundamental notes produced by each kind of vibration . 4. Find the effects of the Moon's attraction on the obliquity of the ecliptic ...
... string . Find the ratio of the numbers of longitudinal and transverse vibrations which constitute the fundamental notes produced by each kind of vibration . 4. Find the effects of the Moon's attraction on the obliquity of the ecliptic ...
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.