 | Charles Robert Cross - 1873 - 104 σελίδες
...must evidently be equal and opposite to the remaining force. 88. If the forces acting at a point can be represented in magnitude and direction by the sides of a polygon taken in order, they witt be in equilibrium. For by a course of reasoning similar to that used in § 82, it will be... | |
 | Charles Robert Cross - 1873 - 182 σελίδες
...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 similar... | |
 | J Alfred Skertchly - 1873 - 184 σελίδες
...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 that :... | |
 | George Wightwick - 1875 - 394 σελίδες
...arch stones in equilibrium (see section on Stability). 3. If any number of forces act at a point and be represented in magnitude and direction by the sides of a polygon taken in order, they will be in equilibrium. Let p,Q,R,8 be forces acting at a point. From any point A draw AB to represent... | |
 | Charles Henry Graham Smith - 1875 - 126 σελίδες
...forces acting at right angles to one another, represented on Fig. 1 by P and W. Now by mechanics. If two forces acting on a particle be represented in magnitude and direction by two adjacent sides G of a parallelogram, the resultant of these forces will be represented in magnitude... | |
 | Charles Graham Smith - 1875 - 132 σελίδες
...forces acting at right angles to one another, represented on Fig. 1 by P and W. Now by mechanics. If two forces acting on a particle be represented in magnitude and direction by two adjacent sides G of a parallelogram, the resultant of these forces will be represented in magnitude... | |
 | Richard Wormell - 1876 - 282 σελίδες
...interested in it, is one of the simplest answering this description. 66. Proposition Xn. — If two forces acting on a particle be represented in magnitude and direction by two adjacent sides of a parallelogram, the resultant of these forces will be represented in magnitude... | |
 | Isaac Todhunter - 1877 - 442 σελίδες
...acting on a particle, not in the same straight line, is given by the following proposition. If two forces acting on a particle be represented in magnitude and direction by straight lines drawn from the particle, and a parallelogram be constructed having these straight lines... | |
 | Samuel Newth - 1879 - 370 σελίδες
...E : : sin QE : sin EP : sin PQ. 23. POLYGON OF FORCES. If any number of forces acting upon a point be represented in magnitude and direction by the sides of a polygon taken in order, they will be in equilibrium, Let forces represented by the sides of the polygon ABCDE, taken in order,... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 σελίδες
...that of the ship's course ; explain generally by the resolution of force why the ship advances. 2. If any number of forces acting on a particle be represented...direction by the sides of a polygon taken in order, the forces will be in equilibrium. Examine whether it is true that if the sides of the polygon be parallel... | |
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If any number of forces, acting on a particle, be represented, in magnitude and direction, by the sides of a polygon, taken in order, the forces shall be in equilibrium. 
