 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
 | Edwin Dana Pierce - 1896 - 238 pages
...Forces.) D. The test of equilibrium for any number of forces from a point is that they be capable of being represented in magnitude and direction by the sides of a polygon taken in order (Polygon of Forces.) E. To find the resultant of three or more forces construct a figure whose sides... | |
 | William John Dobbs - 1897 - 366 pages
...we have the proposition known as The Polygon of Forces. // any number of forces, acting at a point, be represented in magnitude and direction by the sides of a polygon taken one way round, the forces are in equilibrium. This of course includes, as a particular case, The Triangle... | |
 | Sidney H. Wells - 1898 - 274 pages
...experiment may be regarded as a verification. Triangle of Forces. If three forces acting at a point can be represented in magnitude and direction by the sides of a triangle taken in order, they are in equilibrium; and conversely, If three forces acting at a point... | |
 | William Martin Baker - 1899 - 316 pages
...PARALLELOGRAM OF VELOCITIES. 31 39. Polygon of Velocities. If a particle possess simultaneously velocities represented in magnitude and direction by the sides of a polygon, taken in order, tlie particle is at rest. Let ABC...LM be the polygon, then by the Triangle of Velocities, the resultant... | |
 | Sir Richard Gregory, Arthur Thomas Simmons - 1899 - 216 pages
...masses in equilibrium. The experiments show that when 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. The converse of this is true, as will be seen by the following experiment... | |
 | William Kent - 1902 - 1204 pages
...motion balancing each other. It follows, therefore, that if the several forces which tend to move a body can be represented in magnitude and direction by the sides of a closed polygon taken in order, the body will remain at rest; but if the forces are represented by the... | |
 | Jerome Sondericker - 1903 - 194 pages
...moment is zero. A. If the resultant is a couple, R = o, hence : 1. Geometrically. The given forces can be represented in magnitude and direction by the sides of a closed polygon taken in order. 2. Algebraically. If the forces be resolved into components parallel... | |
 | Eldred John Brooksmith - 1904 - 378 pages
...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... | |
 | Arthur Morley - 1905 - 308 pages
...156. These "external" forces acting on the frame consist of applied loads and reactions of supports ; they can be represented in magnitude and direction by the sides of a closed vector polygon ; also their positions are such that an indefinite number of closed funicular... | |
 | William Henry Atherton - 1905 - 294 pages
...CD. We have now 3 forces meeting at a point and keeping the lever in equilibrium. Hence these forces can be represented in magnitude and direction by the sides of a triangle taken in order. Draw this triangle by setting off W equal to 1 ton and drawing parallels to... | |
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