 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.  A Text-book of Statics - Page 11de William Briggs, George Hartley Bryan - 1894 - 220 pagesAffichage du livre entier - À propos de ce livre
 | James Hamblin Smith - 1868 - 102 pages
...in magnitude the resultant of AB, AC. 20. THE 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 will be in equilibrium. Let AB, BC, CA, the sides of the triangle ABC... | |
 | Richard Wormell - 1869 - 270 pages
...the construction we may at once deduce the following proposition. When a number of forces acting on a particle can be represented in magnitude and direction by the sides of a polygon taken in order the forces are in equilibrium. Parallelepiped of Forces. 34. If three forces,... | |
 | George Farrer Rodwell - 1871 - 620 pages
...with the side completing the polygon. From this it follows that when a number of forces acting upon a particle can be represented in magnitude and direction by the sides of a closed polygon taken in order, the forces are in equilibrium. (See ParaUeloyram of forces, Trianyle of Forces.) POLYZONAL LENS.... | |
 | James Hamblin Smith - 1871 - 148 pages
...converse of this proposition is true, that is, if three forces, acting at a point be in equilibrium, they can be represented in magnitude and direction by the sides of a triangle, taken in order. This is a particular case of a more general theorem, which we now proceed... | |
 | J Alfred Skertchly - 1873 - 184 pages
...other forces. Also : — Whenever any number of forces, acting on a point, are so disposed that they can be represented in. magnitude and direction by the sides of a polygon, or other geometrical figure, taken in order, the forces are in equilibrium. Hence it follows... | |
 | Charles Robert Cross - 1873 - 182 pages
...opposite to the remaining force. 89. Conversely, if the forces acting at a point are in equilibrium, they can be represented in magnitude and direction by the sides of a polygon drawn parallel to their lines of action. The proof of this proposition is evidently precisely... | |
 | University of Madras - 1874 - 502 pages
...resultant. Prove this for parallel forces. III. If any number of forces acting through the same point can be represented in magnitude and direction by the sides of a closed polygon taken in order, those forces balance each other. IV. A block of wood weighing 200 Ibs. rests On a plank inclined... | |
 | Sir Philip Magnus - 1875 - 352 pages
...would have remained at rest. If, therefore, the several velocities, with which the body tends to move, can be represented in magnitude and direction by the sides of a closed polygon taken in order, the body will be at rest; but if the velocities are represented by the sides of an open polygon,... | |
 | sir Philip Magnus (1st bart.) - 1876 - 368 pages
...would have remained at rest. If, therefore, the several velocities, with which the body tends to move, can be represented in magnitude and direction by the sides of a closed polygon taken in order, the body will be at rest ; but if the velocities are represented by the sides of an open polygon,... | |
 | De Volson Wood - 1876 - 500 pages
...opposite, we have F = P ein P,R sin f$B R sn (iS) POLYGON OF FOHCES. 45. If several ioncurrent forces are represented in magnitude and direction by the sides of a closed polygon taken in their order, they mill be in equilibrium. This may be proved by finding the resultant of two forces... | |
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