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" In a system in which each pulley hangs by a separate string and the strings are parallel, there is an equilibrium when P : W :: 1 : that power of 2 whose index is the number of moveable pulleys. "
An elementary treatise on mechanics - Σελίδα 122
των Isaac Warren - 1889
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The Cambridge course of elementary natural philosophy, being the ...

John Charles Snowball - 1838 - 114 σελίδες
...: 2n :: 1 : number of strings at the lower block. Wherefore, " In a system, &c." QED 34. THE SECOND SYSTEM OF PULLEYS; — in which each pulley hangs by a separate string. PBOP. xin. In a system where each pulley hangs by a separate string and the strings are parallel, there...

The British Annals of Education for ...: Being The Scholastic ..., Τόμοι 1-2

1844 - 688 σελίδες
...when the power is to the weight as the radius of the axle to the radius of the wheel. 5. In a system in which each pulley hangs by a separate string and the strings are parallel, there is an equilibrium when P:W'.'.\: that power of 2 whose index is the number of moTeable...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 σελίδες
...kept at rest by forces whose magnitudes are proportional to the numbers 3, 4, and 7? 3. In a system in which each pulley hangs by a separate string and the strings are parallel, there is equilibrium when P : W :: l : that power of 2 whose index is the number of moveable...

Manual of Method for the use of teachers in elementary schools

W F. Richards - 1856 - 198 σελίδες
...other : what is the real weight ? 2. What weight may be lifted by a force of 70 Ibs. acting through a system of pulleys, in which each pulley hangs by a separate string, there being 5 pulleys, and the friction of each pulley being } of the weight upon it ? 3. In a compound...

The Cambridge Course of Elementary Natural Philosophy: Being the ...

Thomas Lund - 1864 - 188 σελίδες
...of the string on each side of it parallel. Prove that the height of the plane is half its length. 4. In the system of pulleys, in which each pulley hangs by a separate string, prove that P : W :: Ws velocity : P's velocity. What is meant by saying that in mechanism " what is...

The Cambridge Course of Elementary Natural Philosophy: Being the ...

Thomas Lund - 1864 - 204 σελίδες
...of the string on each side of it parallel. Prove that the height of the plane is half its length. 4. In the system of pulleys, in which each pulley hangs by a separate string, prove that P : W :: W's velocity : JP's velocity. "What is meant by saying that in mechanism " what...

Calendar

University of Cambridge - 1864 - 694 σελίδες
...when power ( P) : weight ( W) :: 1 : the number of strings at the lower block. Prop. 13. In a system in which each pulley hangs by a separate string, and the strings are parallel, there is an equilibrium when P : W :: 1 : that power of 2 whose index is the number of moveable...

An Elementary Treatise on Rational Mechanics: By the Rev. John Kerr

John Kerr - 1866 - 358 σελίδες
...w of the pulley is taken into account, we have 81. Prop. To find the relation between P and TF in a system of pulleys, in which each * pulley hangs by a separate string, one end being attached to the pulley next above and the other end fixed: all the strings being parallel....

A treatise on elementary statics, Τόμος 12

James Hamblin Smith - 1868 - 102 σελίδες
...W, .'. 2P.cos0 = W is the condition of equilibrium. 22. To find the condition of equilibrium for a system of pulleys in which each pulley hangs by a separate string. In this system a string, acted on by the power P, passes round the pulley A, and is fastened to the...

An Elementary Course of theoretical and applied Mechanics, etc

Richard Wormell - 1869 - 270 σελίδες
...certain angle, show that it is true for forces P and 2 Q acting at the same angle. (§ 22, 3rd.) 11. In a system of pulleys in which each pulley hangs by a separate string, and the strings are parallel, show that there is equilibrium when P is to W as 1 is to 2" where n is the number of movable...




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