Mechanical problems, adapted to the course of reading pursued in the University of CambridgeR. Gilbert, St. John's Square, 1828 - 184 pages |
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Mechanical Problems, Adapted to the Course of Reading Pursued in the ... Mechanical Problems No preview available - 2015 |
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altitude angle of 30 angle of 45 axis base beam body falls body is projected centre of gravity chord circle circumference clined plane cone curve cycloid cylinder deter Determine the centre Determine the height Determine the length Determine the position Determine the ratio Determine the velocity diameter direction drawn equal weights equilibrium extremity false balance feet Find the centre fixed pulley force of gravity frustum fulcrum geometric progression given angle given inclined plane given length given point given velocity given weight greatest hori horizontal plane impact impinging latus rectum let fall lowest point middle point motion move moveable oscillation parabola paraboloid parallel pendulum perfectly elastic ball perpendicular placed pressure radii radius revolve right angle ring round shew sides space described sphere straight lever strike string of given string passing supposed surface suspended tical tremity triangle velo velocity acquired vertex vertical plane vibrate wheel and axle zontal
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Page 86 - A and ~B move in opposite directions with velocities, the sum of which is given. Shew that the sum of the products of each body into the square of its velocity is a minimum, when the velocities are reciprocally proportional to the quantities of matter in the bodies.
Page 115 - With what velocity must a body be projected from a tower, in a direction parallel to the horizon, so that it shall strike the ground at a distance from the foot of the tower equal to half its height ? 27.
Page 72 - ... that acquired in falling down a similar inclined plane n times its length. Where will they meet ? Ex, 10. A ball having descended to the lowest point of a circle through an arc whose chord is a, impels an equal ball up an arc whose chord is b. Find e the modulus of elasticity of the balls. Ex. 11. Determine that point in the hypothenuse of a...
Page 156 - W— w respectively are attached to the ends of a string which passes over a fixed pulley.
Page 17 - In a combination of wheels and axles, in which the circumference of each axle is applied to the circumference of the next wheel, and in which the ratios of the radii of the wheels and axles 170 STATICS.
Page 59 - When a chain fixed at two points is ?.cted upon by a central attractive or repulsive force, the tension at any point is inversely as the perpendicular let fall from the centre of force on the tangent at that point.
Page 17 - In a system in which the same string passes round any number of pulleys and the parts of it between the pulleys are parallel, there is an equilibrium when Power (P) : Weight (W) :: 1 : the number of strings at the lower block.
Page 33 - ... 9. ABCD is a quadrilateral figure, of which the two shorter sides AB, BC are equal, as also the two longer AD, DC ; and the angle ABC is a right angle : what is the greatest length of the side AD, that the figure may stand on the base AB on a horizontal plane w.ithout oversetting ? 10.
Page 104 - Two equilateral triangles in the same vertical plane are placed with their bases at a distance of d feet from each other upon the same horizontal line, and a non-elastic body falls down the side of the first, moves along the space between the bases and up the side of the second triangle, the vertex of which it just reaches ; given the side of the first triangle equal to a feet ; find the side of the second, and the whole time of motion.
Page 62 - B move in opposite directions with velocities, the sum of which is given. Shew that the sum of the products of each body into the square of its velocity is a minimum, when the velocities are reciprocally proportional to the quantities of matter in the bodies. 7. If from one extremity of the diameter of a circle, chords are drawn intersecting the radius which is perpendicular to the diameter or that radius produced, and from the points of intersection...