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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. "
The Elements of Analytical Mechanics - Σελίδα 67
των De Volson Wood - 1882 - 249 σελίδες
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An Elementary Text-book of Physics, Τόμος 1

Robert Wallace Stewart - 1910 - 434 σελίδες
...converse of this theorem states that if three forces acting at a point are in equilibrium they can be represented in magnitude and direction by the sides of a triangle taken in order. Since all triangles, whose sides are parallel to three given directions, must be similar triangles,...

Calendar, Μέρος 3

University of Calcutta - 1911 - 760 σελίδες
...any one group). The questions are all of equal value. GROUP A. 1. If three forces, arling at a point, be represented in magnitude and direction by the sides of a triangle, taken in order, they will be in equilibrium. ABCD is a quadrilateral. Forces acting on a particle are represented...

An Elementary Treatise on Statics

Sidney Luxton Loney - 1912 - 418 σελίδες
...the direction OA is, by Art. 19, Fcos a. 21. Triangle of Forces. 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. Let the forces P, Q, and R acting at the point 0 .be represented...

Practical Geometry & Graphics: A Text-book for Students in Technical and ...

Edward L. Bates, Frederick Charlesworth - 1912 - 648 σελίδες
...and parallel respectively to the given forces. FIG. 343. If three concurrent co -planar forces can be represented in magnitude and direction by the sides of a triangle, the forces are in equilibrium. Thus if OA, OB, Fig. 344, represent to scale two forces acting at O,...

Steel Bridge Designing

Melville Baker Wells - 1913 - 282 σελίδες
...positive, and anticlockwise as negative. Equilibrium.—If three forces in one plane act at one point and are in equilibrium they may be represented in magnitude...and direction by the sides of a triangle taken in order; and conversely, if the sides of a triangle represent in magnitude and direction three forces...

The Dublin University Calendar

Trinity College (Dublin, Ireland) - 1913 - 752 σελίδες
...18 acting at a point at an angle sin"1 f with one another. 2. If three forces acting on a particle be represented in magnitude and direction by the sides of a triangle taken in order, they are in equilibrium. 3. Two men carry a weight W between them by two ropes fixed to the...

Mechanics for Builders, Τόμος 1

Edward L. Bates, Frederick Charlesworth - 1913 - 226 σελίδες
...forces. Any one of these forces is then the equilibrant of the other two, and the three forces can be represented in magnitude and direction by the sides of a triangle. FIG. 1 8. Experiment. — The apparatus used for the polygon of forces, p. 28, may be used to demonstrate...

Structural Engineering

John Edward Kirkham - 1914 - 696 σελίδες
...as PI and P'2. Now it is evident that any two concur- Fig. is rent forces with their resultant can be represented in magnitude and direction by the sides of a triangle which is known as a Force Triangle. It is important to note that the forces act in one direction around...

Elementary Mechanics for the Practical Engineer: Engineers' Study Course ...

John Paul Kottcamp - 1915 - 200 σελίδες
...same plane. (b) The lines of action of the forces pass through a common point. (c) The three forces may be represented in magnitude and direction by the sides of a triangle taken in order. (d) // the three forces are parallel the resultant force equals zero, and the algebraic sum...

Aëroplanes and Dirigibles of War

Frederick Arthur Ambrose Talbot - 1915 - 158 σελίδες
...new value of the propeller thrust Fio. 28. Hj introduces a new air force R1( so that H^ Rj, and W are represented in magnitude and direction by the sides of a triangle taken in order (see fig. 28). It follows, then, that if the elevator position be fixed, variations in the magnitude...




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