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" If any number of forces, acting on a particle, be represented, in magnitude and direction, by the sides of a polygon, taken in order, the forces shall be in equilibrium. "
The elements of dynamics, mechanics - Σελίδα 51
των James Andrew Blaikie - 1878
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The Mechanical Euclid: Containing the Elements of Mechanics and Hydrostatics ...

William Whewell - 1837 - 182 σελίδες
...forces AB,BC, which act at a point A, are equivalent to a force AC. PROP. XV. If any number of forces, represented in magnitude and direction by the sides of a polygon taken in order, act on a point, they \ri\\ it in equilibrium. Let forces AB, BC, CD, DE, EA act upon a point A ; they...

An Elementary Treatise on Mechanics: Intended for the Use of Colleges and ...

William Whewell - 1847 - 191 σελίδες
...P : R :: sin RAQ : sin PAQ, whence, Q : R :: sin RAP : sin QAP. 59. PROP. If any number of forces, represented in magnitude and direction by the sides of a polygon taken in order, act on a point, they will keep it in equilibrium.. Let forces AB, BC, CD, DE, EA act upon a point A...

Elementary mechanics

Harvey Goodwin (bp. of Carlisle.) - 1851
...velocities be supposed to be impressed simultaneously upon a particle at rest, and if these velocities be represented in magnitude and direction by the sides of a polygon taken in order, then the particle will remain at rest. 17. It is to be observed, that in what has been here said, the student...

AN ELEMENTARY TREATISE ON MECHANICS

AUGUSTUS W. SMITH - 1855
...AE ^AB cos. BAE, and AF^AB cos. BAF. POLYGON OF FORCES. 24. PROP. If any number of concurring forces be represented in magnitude and direction by the sides of a polygon, taken in order, they will be in equilibrium. Draw the diagonals AC and AD. By Art. 22, AC, the third side of the triangle...

An Elementary Treatise on Mechanics: Embracing the Theory of Statics and ...

Augustus William Smith - 1855 - 307 σελίδες
...AE =AB cos. BAE, and AF=AB cos. BAF. POLYGON OF FORCES. 24. PBOP. If any number of concurring forces be represented in magnitude and direction by the sides of a polygon, taken in order, they will be in equilibrium. Let the sides of the polygon ABCDEA represent the magnitudes and have...

An Elementary Treatise on Mechanics: Designed as a Text-book for the ...

John Bradford Cherriman - 1858 - 92 σελίδες
...Duhamel'a proof. angle between their directions. 19. The Principle of the PARALLELOGRAM OF FORCES. If two Forces acting on a particle be represented in magnitude and direction by two straight lines drawn from a point, and the parallelogram, of which these lines are adjacent sides,...

Elementary statics, ed. by E. Sturges

George Rawlinson - 1860
...of the planes. Find the ratio of the inclinations of the planes. 21. Shew that if a system of forces be represented in magnitude and direction by the sides of a polygon taken in order, the moment of the forces about any point may be represented by twice the area of the polygon. 22. A...

An Elementary Treatise on Mechanics: Embracing the Theory of Statics and ...

Augustus William Smith - 1863 - 307 σελίδες
...AE =AB cos. BAE, and AF=AB cos. BAF. POLYGON OF FORCES. 24. PROP. If any number of concurring forces be represented in magnitude and direction by the sides of a polygon, taken in order, they will be in equilibrium. STATICS. Draw the diagonals AC, and AD. By Art. 22, AC, the third side...

An elementary treatise on mechanics

Stephen Parkinson - 1863 - 374 σελίδες
...22, and is called the Polygon of Forces. Polygon of Forces. If any number of forces acting at a point be represented in magnitude and direction by the sides of a polygon taken in order, they will be in equilibrium. If the forces be represented in magnitude and direction by the sides of...

The Elements of Mechanics, Including Hydrostatics: with Numerous Examples

Samuel Newth - 1864 - 364 σελίδες
...: : sin QR : sin R"? : sin PQ. 23. POLYGON OF FORCES. If any number of forces acting upon, a point be represented in magnitude and direction by the sides of a polygon taken in order, they will be in equilibrium. Let forces represented by the sides of the polygon ABCDE, taken in order,...




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