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" If any number of forces acting at a point can be represented in magnitude and direction by the sides of a POLYGON taken in order, they are in equilibrium. "
A Treatise of Mechanics, Theoretical, Practical, and Descriptive - الصفحة 365
بواسطة Olinthus Gregory - 1815 - عدد الصفحات: 58
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The Elements of Mechanics, Including Hydrostatics: with Numerous Examples

Samuel Newth - 1864 - عدد الصفحات: 392
...: 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,...

A treatise on elementary statics, المجلد 12

James Hamblin Smith - 1868 - عدد الصفحات: 102
...sin a : sin yS : sin 7. 23. THE POLYGON OF FORCES. If any number of forces acting at a point can be represented in magnitude and direction by the sides of a polygon taken in order, they will be in equilibrium. Let the forces acting at A be represented in magnitude and direction by...

An Elementary Course of theoretical and applied Mechanics, etc

Richard Wormell - 1869 - عدد الصفحات: 270
...we may at once deduce the following proposition. When a number of forces acting on a particle can be represented in magnitude and direction by the sides of a polygon taken in order the forces are in equilibrium. Parallelepiped of Forces. 34. If three forces, F F' F'', acting on a...

An elementary treatise on statics

J W. Mulcaster - 1871 - عدد الصفحات: 242
...them is greater than the third. 40. 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. Let AB, BC, CD, DE, EA represent any number of forces acting on a point...

Elementary statics

James Hamblin Smith - 1871 - عدد الصفحات: 148
...sin a : sin /3 : sin y. 40. THE POLYGON OF FORCES. If any number of forces, acting at a point, can be represented in magnitude and direction by the sides of a polygon taken in order, they will be in equilibrium. Let any number of forces P, Q, R, S, T, acting at the point 0, be represented...

Course in Elementary Physics

Charles Robert Cross - 1873 - عدد الصفحات: 104
...evidently be equal and opposite to the remaining force. 88. If the forces acting at a point can be represented in magnitude and direction by the sides of a polygon taken in order, they witt be in equilibrium. For by a course of reasoning similar to that used in § 82, it will be...

Principles of Mechanics

Thomas Minchin Goodeve - 1874 - عدد الصفحات: 340
...extended into that of the polygon of forces, viz. — If any number of forces acting on a point be represented in magnitude and direction by the sides of a polygon, taken in order, tiiey .will be in equilibrium. . In the polygon AB c DE, we know that AB, B c are equivalent to a force...

Hints to young architects

George Wightwick - 1875 - عدد الصفحات: 394
...stones in equilibrium (see section on Stability). 3. If any number of forces act at a point and be represented in magnitude and direction by the sides of a polygon taken in order, they will be in equilibrium. Let p,Q,R,8 be forces acting at a point. From any point A draw AB to represent...

The elements of dynamics, mechanics

James Andrew Blaikie - 1878 - عدد الصفحات: 184
...Similarly CA represents R. Any number of Forces. If any number of forces, acting on a particle, be represented in magnitude and direction by the sides of a polygon taken in order, then by the polygon of velocities (§ 14) the velocity of the particle is unchanged, and therefore...

The elements of mechanics; including hydrostatics

Samuel Newth - 1879 - عدد الصفحات: 370
...: : sin QE : sin EP : 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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