Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875Sir George Greenhill Macmillan and Company, 1876 - 236 páginas |
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Página 79
... magnets which are placed , in any positions , at a distance from one another great compared with the length of either . Employ it to find the positions of equilibrium when the magnets are free to turn about their middle points in given ...
... magnets which are placed , in any positions , at a distance from one another great compared with the length of either . Employ it to find the positions of equilibrium when the magnets are free to turn about their middle points in given ...
Página 80
... magnets equally inclined to the coordinate axes W = MM ' 7.3 ( mn ' + m'n + nl ' + n'l + lm ' + l'm ) , this is to be a maximum or minimum in the positions of equilibrium subject to the conditions 2 int mat = 0 , t + m + n = 1 , 12 l'X ...
... magnets equally inclined to the coordinate axes W = MM ' 7.3 ( mn ' + m'n + nl ' + n'l + lm ' + l'm ) , this is to be a maximum or minimum in the positions of equilibrium subject to the conditions 2 int mat = 0 , t + m + n = 1 , 12 l'X ...
Página 81
... magnet in the position of equilibrium relative to B. B will also be in equilibrium relatively to A , if when AO is produced to A ' such that tanОA ' = tan AÓ , A'B is perpendicular to CB . If we eliminate I'm'n ' between the equations ...
... magnet in the position of equilibrium relative to B. B will also be in equilibrium relatively to A , if when AO is produced to A ' such that tanОA ' = tan AÓ , A'B is perpendicular to CB . If we eliminate I'm'n ' between the equations ...
Página 82
... magnets move are parallel , the stable and unstable positions of equi- librium are in the plane through the line joining the centres of the magnets perpendicular to the planes in which the magnets move , and the stable - unstable ...
... magnets move are parallel , the stable and unstable positions of equi- librium are in the plane through the line joining the centres of the magnets perpendicular to the planes in which the magnets move , and the stable - unstable ...
Página 224
... magnets of equal mass suspended each by its extremities , by parallel strings , all four of equal length , from points in a horizontal line . Show as a particular case that if one of the magnets be initially at rest the whole energy ...
... magnets of equal mass suspended each by its extremities , by parallel strings , all four of equal length , from points in a horizontal line . Show as a particular case that if one of the magnets be initially at rest the whole energy ...
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Solutions of the Cambridge Senate-House Problems and Riders for the Year 1875 George Greenhill Sin vista previa disponible - 2016 |
Términos y frases comunes
apse line Arabic numbers axes axis Cambridge centre of inertia circle coefficient conic section coordinates cos² cose cosec Crown 8vo curvature curve density diameter differential equation distance dx dy dz dx² Edition electricity ELEMENTARY TREATISE ellipse ellipsoid equal equations of motion equilibrium Extra fcap Fellow of St fixed fluid force given GREEK harmonic Hence hyperbola hypocycloid integral intersect J. P. MAHAFFY John's College late Fellow LATIN length lines of curvature liquid lunar precession magnets middle points normal numerous Illustrations orbit Owens College parabola parallel particle perpendicular plane polar pressure prism Professor prove radius ratio refracting right angles Roman numbers School shew sin sin sin sin² sphere straight line surface tangent triangle ABC Trinity College velocity vertical
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