 | Olinthus Gregory - 1815 - 604 pages
...deduced. 149. PROP. Each of two forces in equilibria about a pulley is to that which retains the axis, as the radius of the pulley, to the chord of that arc with which the rope is in contact. Let DEC (fig. 3 pi. VI.) represent a pulley which is kept in equilibrium... | |
 | 1823 - 876 pages
...the power and weight make equal angles with the arms of the lever, we have (Art. 36.) P : W ~FB : FA, that is, the power is to the weight as the radius of the axle is to the radius of the wheel. Corollaries. 93. COR. I. If the power and weight act obliquely... | |
 | Encyclopaedia - 1845 - 902 pages
...lengths are as the radii AC, CB, of the wheel and axle ; therefore in this machine p _ AC _P_ P__ CB that is, the power is to the weight as the radius of axle to that of the wheel. In a system of pulleys, as for instance the first in fig. 85, if the weight... | |
 | Julius Ludwig Weisbach - 1847 - 664 pages
...put= ,and A ft n U KIO. 156. likewise -57= -. From this, therefore, the power in the fitted pulley is to the weight as the radius of the pulley to the chord of the arc over which the string passes. If a=2 r, the string passes over a semicircle, Fig. 156, the... | |
 | 1851 - 716 pages
...motion, the weight must be equal to the power ; in the movable, however, another condition occurs. Here the power is to the weight as the radius of the pulley to the chord of the arc of the pulley embraced by the rope. The most advantageous case is exhibited when the two sides... | |
 | Johann Georg Heck - 1851 - 712 pages
...motion, the weight must be equal to the power ; in the movable, however, another condition occurs. Here the power is to the weight as the radius of the pulley to the chord of the arc of the pulley embraced by the rope. The most advantageous case is exhibited when the two sides... | |
 | Johann Georg Heck - 1860 - 332 pages
...motion, the weight must be equal to the power; in the movable, however, another condition occurs. Here the power is to the weight as the radius of the pulley to the chord of the arc of the pulley embraced by the rope. The most advantageous case is exhibited when the two sides... | |
 | Joseph Allen Galbraith - 1860 - 174 pages
...In a single moveable 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... | |
 | Henry Lee Scott - 1861 - 674 pages
...of the arc enveloped by the 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... | |
 | Joseph Allen Galbraith, Samuel Haughton - 1866 - 200 pages
...In a single moveable 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 iu contact with the string. 11. In a Burton of the first kind, in which... | |
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... either elevated by the power P, or, as in fig. 37, passes over a second pulley to be drawn up from below. In the fixed pulleys, which are properly nothing more than means for changing the direction of motion, the weight must be equal to the power... 
