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" A cone of given weight W is placed with its base on an inclined plane, and supported by a weight W which hangs by a string fastened to the vertex of the cone and passing over a pulley in the inclined plane at the same height as the vertex. "
The Analyst - Page 167
1882
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Elementary Mechanics

Sir John Budd Phear - Mechanics - 1850 - 304 pages
...W : W : : 2 sin - cos ( - + a ] : sin a, 2 V2 (2); or W" = . e (9 sin - cos - + a 2 \2 sin a (10). A cone of given weight W is placed with its base on a smooth inclined plane and supported by a weight W which hangs by a string fastened to the cone and...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 196 pages
...but that this number is limited if it have to return to the point from which it was projected. 1 3. A cone of given weight W is placed with its base on a smooth inclined plane and supported by a weight W which hangs by a string fastened to the vertex...
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A Treatise on Analytical Statics, with Numerous Examples

Isaac Todhunter - Statics - 1853 - 362 pages
...string between the cylinder and the pulley is horizontal: determine the conditions of equilibrium. 7. A cone of given weight W is placed with its base on...the inclined plane at the same height as the vertex. Find the angle of the cone when the ratio of the weights is such that a small increase of W would cause...
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An Elementary Treatise on Mechanics for the Use of the Junior Classes at the ...

Stephen Parkinson - Dynamics - 1863 - 396 pages
...supporting weights Pt, P2, P3, P4; shew that if there is equilibrium, a being a side of the table. 85. A cone of given weight W is placed with its base on a smooth inclined plane (a), and supported by a weight W which hangs by a string fastened to the vertex...
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A Treatise on Analytical Statics: With Numerous Examples

Isaac Todhunter - Mathematics - 1866 - 386 pages
...not exceed the ratio of the diameter of the base of the cylinder to the height of the cylinder. 7. A cone of given weight W is placed with its base on...fastened to the vertex of the cone and passing over a pully in the inclined plane at the same height as the vertex. Determine the conditions of equilibrium....
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An elementary treatise on statics

J W. Mulcaster - 1871 - 242 pages
...sections for which the equilibrium is neutral, and for intermediate values the cone will fall over. 50. A cone of given weight W is placed with its base on a smooth inclined plane, and supported by a weight W, which hangs by a string fastened to the vertex...
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An elementary treatise on mechanics

Stephen Parkinson - 1874 - 436 pages
...is equilibrium, 95. A cone of given weight W is placed with its base on a smooth inclined plane (a), and supported by a weight W which hangs by a string fastened to the vertex of trie cone, and passing over a pully in the inclined plane at the same height as the vertex. Find the...
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The Analyst, Volumes 8-10

Mathematics - 1881 - 608 pages
...derived respectively from (3), (4), (8). If B, = R^ = R, we get x = |(i/5— 1)..R. 429. By Prof. M. L, Comstock. — "A cone of given weight W, is placed with its base on an inclined plane, aud supported by a weight W which hangs by a string fastened to the vertex of the cone and passing...
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Calendar, Part 3

University of Calcutta - 1908 - 562 pages
...a body in equilibrium, their lines of action must be co-planar, and either concurrent or parallel. A cone of given weight W is placed with its base on...the vertex. Determine the conditions of equilibrium. 2. A wrench (R, K) acting on a rigid body is equivalent to the forces (X, Y, Z) along any three rectangular...
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