Cambridge Senate-house Problems and Riders for the Year 1860: With SolutionsMacmillan, 1860 - 198 páginas |
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Página 9
... forces ; and , assuming its truth for the magnitude , prove it also for the direction , of the resultant . Let AB and AC ... force varying directly as the distance , are situated at the opposite extremities of a diameter of a horizontal ...
... forces ; and , assuming its truth for the magnitude , prove it also for the direction , of the resultant . Let AB and AC ... force varying directly as the distance , are situated at the opposite extremities of a diameter of a horizontal ...
Página 10
... forces on P , and the resultant force is therefore in the direction of that diagonal of the parallelogram on AP , PB which passes through P. Hence the resultant passes through O the centre of the circle since the diagonals of ...
... forces on P , and the resultant force is therefore in the direction of that diagonal of the parallelogram on AP , PB which passes through P. Hence the resultant passes through O the centre of the circle since the diagonals of ...
Página 17
... force that will sustain it with its axis horizontal . 2 Let AB = h be the axis of the cone , A the vertex . The forces acting on the cone are , its weight Wacting downwards at G the centre of gravity of the surface , AG = h ; and W ...
... force that will sustain it with its axis horizontal . 2 Let AB = h be the axis of the cone , A the vertex . The forces acting on the cone are , its weight Wacting downwards at G the centre of gravity of the surface , AG = h ; and W ...
Página 25
... +1 2 cos 0 + cos 0-1 = 1 2 cos 0-1 ' viii . Four equal particles are mutually repulsive , the law of force being that of the inverse distance . If they be joined together by four strings of given length so as to 9-12 . ] 25 AND RIDERS .
... +1 2 cos 0 + cos 0-1 = 1 2 cos 0-1 ' viii . Four equal particles are mutually repulsive , the law of force being that of the inverse distance . If they be joined together by four strings of given length so as to 9-12 . ] 25 AND RIDERS .
Página 26
... force and the tension , it therefore follows no law ) ; AB sin DAB sin ADB : AB sin ABC sin ACB :: sin DAB . sin DBC ... force must be applied that its inter- sections with the frictions may trace out the remainder of the circle . See ...
... force and the tension , it therefore follows no law ) ; AB sin DAB sin ADB : AB sin ABC sin ACB :: sin DAB . sin DBC ... force must be applied that its inter- sections with the frictions may trace out the remainder of the circle . See ...
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Términos y frases comunes
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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