 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.  Applied Mechanics - Page 18de Charles Edward Fuller, William Atkinson Johnston - 1913Affichage du livre entier - À propos de ce livre
 | Robert Wallace Stewart - 1910 - 434 pages
...equilibrium. 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... | |
 | George A. Hool - 1912 - 208 pages
...propositions are deduced in the same way as for the triangle of forces. 1. If any number of forces be represented in magnitude and direction by the sides of a polygon taken in order, then, if these forces be simultaneously applied at one point, they will balance each other. represented... | |
 | Edward L. Bates, Frederick Charlesworth - 1912 - 648 pages
...act at a point and are in equilibrium (ie, the point does not move under the action of the forces) they can be represented in magnitude and direction by the sides of a closed polygon called the polygon of forces. We can regard any one of the series of forces as the equilibrant... | |
 | Sidney Luxton Loney - 1912 - 418 pages
...of Forces is also true, viz. that // three forces P, Q, and R acting at a point 0 be in equilibrium they can be represented in magnitude and direction by the sides of any triangle which is drawn so as to have its sides respectively parallel to the directions of the... | |
 | John T. Wight - 1913 - 256 pages
...more general theorem, known as— The Polygon of Forces.—// any number of forces, acting on a point, be represented in magnitude and direction by the sides of a polygon taken in order, then these forces are in equilibrium; if the polygon does not close, then the closing line drawn from... | |
 | Joseph Gregory Horner - 1913 - 510 pages
...expansion of the triangle of forces (qv), and which may be thus stated : — If any number of forces be represented in magnitude and direction by the sides of a polygon taken in order they will be in equilibrium. Polygone, Line of. — One of the sectorial scales by means of which any... | |
 | Edward L. Bates, Frederick Charlesworth - 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... | |
 | John Paul Kottcamp - 1915 - 200 pages
...forces in the same plane, acting at a given point on a body produce a state of equilibrium, these forces can be represented in magnitude and direction by the sides of a polygon taken in order. Conversely, if any number of forces ft) Fio. 20. in the same plane acting at a given point on a body... | |
 | John Paul Kottcamp - 1915 - 202 pages
...same plane, acting at a given point on a body produce a state of equilibrium, these forces can lie represented in magnitude and direction by the sides of a polygon taken in order. Conversely, if any number of forces Fia. 20. in the same plane acting at a given point on a body can... | |
 | Frank Eugene Kidder - 1915 - 1856 pages
...the forces ¿ч not in equilibrium. 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 с order, they are in equilibrium. This follows directly from the preceding theorem. 2. Moments of... | |
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