 | 1907 - 566 pages
...an extension of the triangle of forces, and states that if any number of forces acting on a particle can be represented in magnitude and direction by the sides of a closed polygon, those forces shall be in equilibrium. Given any number of forces such as p, Q, R, s, т, Fig. 39, 9,... | |
 | Joseph Gregory Horner - Engineering - 1907 - 560 pages
...an extension of the triangle of forces, and states that if any number of forces acting on a particle can be represented in magnitude and direction by the sides of a closed polygon, those forces shall be in equilibrium. Given any number of forces such as p, Q, к, s, т, Fig. 39,... | |
 | Frank Eugene Kidder - Architecture - 1908 - 1760 pages
...be unbalanced, and the point will not be in equilibrium. The Polygon of Forces.— IV. // 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. This proposition is only the preceding one carried... | |
 | Frank Eugene Kidder - Architecture - 1908 - 1784 pages
...be unbalanced, and the point will not be in equilibrium. The Polygon of Forces.— TV. // any number of forces acting at a point can be represented in magnitude and direction by the .tides of a polygon taken in order, thfij will l>e in equilibrium. This proposition is only the preceding... | |
 | Royal Military Academy, Woolwich - Mathematics - 1909 - 456 pages
...questions, and not more, are to be answered.] Gravitational acceleration = 32 foot-second units. 1. Three forces acting at a point can be represented in magnitude and direction by the sides of a triangle taken in order. Prove, from first principles, that the algebraic sum of the moments of the... | |
 | James David Hoffman - Machine design - 1909 - 274 pages
...AО, ВО, CO, and DO, Fig. 6, acting upon the point, О ; these forces, if they are in equilibrium, can be represented in magnitude and direction by the sides of a polygon, whose sides are respectively parallel to the forces. Since a polygon, Fig. 7, so constructed... | |
 | Robert Wallace Stewart - Light - 1910 - 434 pages
...The 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... | |
 | Sir Horace Lamb - Elasticity - 1912 - 359 pages
...the proposition known as the ' polygon of forces ' ; viz. if a system of forces acting on a particle be represented in magnitude and direction by the sides of a closed polygon taken in order, they are in equilibrium. The simplest case is that of two equal and opposite forces, represented by... | |
 | Edward L. Bates, Frederick Charlesworth - Geometry - 1912 - 648 pages
...equal 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... | |
 | Edward L. Bates, Frederick Charlesworth - Building - 1913 - 226 pages
...triangle of 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... | |
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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. 
