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" The power is to the weight, as the radius of the pulley is to the chord of the arc enveloped by the rope. "
Elements of Mechanics: For the Use of Colleges, Academies, and High Schools - Page 114
by William Guy Peck - 1859 - 338 pages
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An Elementary Treatise on Mechanics: Comprehending the Doctrine of ...

John Farrar - 1825 - 476 pages
...: OT; that is, the tension of either part of the rope is to the force exerted cgainst the centre F, as the radius of the pulley is to the chord of the arc embraced by the rope. Now it is evident that this last ratio is the greatest possible when the two...
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Elements of Natural Philosophy: With Questions for Review; Illustrated by ...

Francis Joseph Grund - 1836 - 308 pages
...mathematically proved, that the tension of either part of the rope is to the weight at the, centre as the radius of the pulley is to the chord of the arc embraced by the rope. Let AB, HG (Fig. 99), be produced until they meet in a point, C. Upon BC and...
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Elements of Natural Philosophy, Volume 1

William Holms Chambers Bartlett - 1850 - 662 pages
...F : W :: R : AB; that is to say, the power is to the resistance as the radius of relation of power the pulley is to the chord of the arc enveloped by the rope. and re8i"anc» '< ameter of the pulley 1.3 feet, and that of its eye 0.045 feet ; the diameter of the...
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An Elementary Treatise on Statics: With a Biographical Notice of the Author

Gaspard Monge - 1851 - 228 pages
...formed by the directions of the two others ; 3d, each of the two forces P and Q is to the third force s, as the radius of the pulley is to the chord of the arc embraced by the rope. COROLLARY I. Fig. 60. 155. We observe that if the cord, fastened to the block,...
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An Elementary Treatise on Mechanics ...

Isaac Wilber Jackson - 1852 - 202 pages
...and Q are equal, and, as in the preceding case,, that P i R : : 10 : IH. Thus, in the movable pulley, the power is to the resistance., as the radius of the pulley is to the chord of the arc in contact ^uith the rope. 1°. When the cords El and FH are parallel, the chord IH becomes a diameter,...
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Elements of Analytical Mechanics

William Holms Chambers Bartlett - 1853 - 462 pages
.... (570) And omitting the terms involving the friction and stiffness of cordage, — L. ~vl "~ ~R ' that is, the power is to the resistance as the radius of the arbor is to that of the wheel ; which relation is exactly the same as that of the common lever. FIXED...
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An Elementary Treatise on Mechanics

Isaac Wilber Jackson - 1854 - 218 pages
...readily inferred that P and Q are equal, and, as in the preceding case, that Thus, in the movable pulley, the power is to the resistance, as the radius of the pulley is to the chord of the arc in contact wilh the rope. 1° When the cords El and FII are parallel, the chord IH becomes a diameter,...
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Elements of Natural Philosophy: I. Mechanics

William Holms Chambers Bartlett - 1855 - 646 pages
...F : W :: R : AB; that is to say, the power is to the resistance as the radius of relation of power the pulley is to the chord of the arc enveloped by the rope. >tance; NATURAL PHILOSOPHY. data from Hie tables; data of the example; amcter of the pulley 1.3 feet,...
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Manual of mechanics, by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1860 - 174 pages
...pulley, in which the two directions of the string are not parallel, prove that the Power is to the Weight as the radius of the pulley is to the chord of the arc in contact with the string. 10. In a Burton of the first kind, in which the strings are not parallel,...
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Military Dictionary: Comprising Technical Definitions: Information on ...

Henry Lee Scott - 1861 - 674 pages
...rope is to the radius r of the pulley. p= «=«--. c MOVABLE PULLEY. — The power is to the weight, as the radius of the pulley is to the chord of the arc enveloped by the rope. The pressure WY on the fixed end of the rope is equal to the power : P= Q= — . c In a system of n...
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