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

Edward L. Bates, Frederick Charlesworth - 1912 - 621 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 - 260 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...

Structural Engineering

John Edward Kirkham - 1914 - 669 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 - 181 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...

The Aeroplane: A Concise Scientific Sudy

Arthur Fage - 1915 - 136 σελίδες
...value of the propeller thrust FIG. 28. H! introduces a new air force R1; so that Hj, R1( 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...

The Aeroplane: A Concise Scientific Sudy

Arthur Fage - 1915 - 136 σελίδες
...value of the propeller thrust. FIG. 28. H1 introduces a new air force R1, so that H1, R1, 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...

Strength of Materials: A Text Book for Technical and Industrial Schools

John Paul Kottcamp - 1919 - 193 σελίδες
...same plane. (6) 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) If the three forces are parallel, the resultant force equals zero, and the algebraic sum...

The Theory and Practice of Aeroplane Design

S.T.G. Andrews and S.F. Benson - 1920
...subject is that known as the Triangle of Forces, which states: - 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.- It should be noted that the converse of this theorem is also true,...

A Laboratory Manual of Experiments in Physics

Leonard Rose Ingersoll - 1925 - 220 σελίδες
...and that each set is shown to reduce to zero. Another important test is that forces in equilibrium may be represented in magnitude and direction by the sides of a closed polygon. Using this, see if the second problem will check. Start by drawing a line parallel...

A-level Physics

Roger Muncaster - 1993 - 953 σελίδες
...of forces If a body is in equilibrium under the action of three coplanar forces, then the forces can be represented in magnitude and direction by the sides of a triangle taken in order. This is known as the triangle efforces. QUESTIONS 4B 1 . Solve the problem in example 4. 1 by...
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