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" If three forces acting at a point be represented in magnitude and direction by the sides of a triangle taken in order, they will be in equilibrium. "
Mathematical Formulae: For the Use of Candidates Preparing for the Army ... - Σελίδα 83
επεξεργασία από - 1880 - 100 σελίδες
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The Mechanics of Daily Life

Vincent Perronet Sells - 1893 - 224 σελίδες
...opposite way, as at (rf). This result may be summed up thus, " If three forces acting at a point can be represented, in magnitude and direction, by the sides of a triangle taken in order, the forces will be in equilibrium;" that is, will exactly balance each other. The direction in the...

Elementary Mechanics of Solids and Fluids

A. L. Selby - 1893 - 324 σελίδες
...are equal and parallel to the sides of the triangle COA taken in order. Therefore if three forces, represented in magnitude and direction by the sides of a triangle taken in order, act on a particle, the particle will remain at rest ; or, if already moving, it will continue in motion...

Treatise on the Theory of the Construction of Bridges and Roads

De Volson Wood - 1893 - 294 σελίδες
...several forces which are applied at the several angles as shown. These forces being in equilibrium may be represented in magnitude and direction by the sides of a triangle, as a, b, C, Fig. 123. Since the forces at <7, Fig. 122, including the strains in the bars, are in equilibrium,...

An Introduction to the Elements of Science

St. George Jackson Mivart - 1894 - 412 σελίδες
...with adjacent sides equal, such sides would be unequal. Now, it is a rule in mechanics, that if two forces acting at a point be represented in magnitude and direction by the sides of a parallelogram, the resultant force will be represented in magnitude and direction by the diagonal of...

A Text-book of Statics

William Briggs, George Hartley Bryan - 1894 - 254 σελίδες
...equilibrium as if they acted on a particle at that point ; they must therefore be capable of being represented in magnitude and direction by the sides of a triangle taken in order. The conditions of equilibrium of three parallel forces will be investigated in Chap. VI. 54. The point...

The Elementary Principles of Mechanics: Statics. 1894

Augustus Jay Du Bois - 1894 - 424 σελίδες
...must act in their plane and be equal and opposite to the third. (3) J[f three concurring forces are represented in magnitude and direction by the sides of a triangle taken the same way round, the resultant is zero and the forces are in equilibrium. (4) Hence, if three concurring...

Problems in Machine Design

Charles Herbert Innes - 1894 - 216 σελίδες
...IN FRAMEWORK STRUCTURES. IF three forces (fig. 1) act at a point O, and are in equilibrium, they can be represented in magnitude and direction by the sides of a triangle be a, taken in order. It is frequently convenient to use the method of areas shown here, the force...

Lloyd's Encyclopædic dictionary, Τόμος 7

Robert Hunter - 1895 - 712 σελίδες
...Triangle of forces : Medi. : A term applied to that proposition which asserts that if three forces, represented in magnitude and direction by the sides of a triangle taken in order, act upon a point, they will be in equilibrium ; and, conversely, if three forces acting upon a point,...

Science and Art Drawing: Complete Geometrical Course ; Consisting of Plane ...

John Humphrey Spanton - 1895 - 608 σελίδες
...326. Draw PA, 4" long, and QA at an angle of 60C with it, H" long. Parallelogram of Forces. — If two forces acting at a point be represented in magnitude and direction by two straight lines, and these lines be taken to represent two adjacent sides of a parallelogram, the...

Physiography for Beginners

Arthur Thomas Simmons - 1896 - 362 σελίδες
...forces, both its magnitude and its direction. This proposition is usually stated thus : — If two forces acting at a point be represented in magnitude and direction by the adjacent sides of a parallelogram, the resultant of these two forces will be represented in magnitude...




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