...single force represented by the diagonal 10 14. Of three equilibrating fortes the intensity of any one is proportional to the sine of the angle between the other two 11 15. Composition of several concurring forces by geometrical construction . . . . . ib. 16. To resolve...

...sides of the polygon, then, recollecting that each of three equilibrating forces acting on a point is proportional to the sine of the angle between the other two, and calling the several tensions i, fj, t 2 , &c. (see fig. 18,) we have t _sin. «j íj_sin. a¡ t...

...force represented by the diagonal • 21 14. Of three equilibrating forces the intensity of any one is proportional to the sine of the angle between the other two - - 22 15. Composition of several concurring forces by geometrical construction - ib. 16. To resolve...

...sides of the polygon, then, recollecting that each of three equilibrating forces acting on a point is proportional to the sine of the angle between the other two, and calling the several tensions f, f,, t 2 , &c. (see fig. 18,) we have t _sin. a , t l _sin.a , t...

...force represented by the diagonal - - - 21 14. Of three equilibrating forces the intensity of any one is proportional to the sine of the angle between the other two - - - - 22 15. Composition of several concurring forces by geometrical construction - ib. 16. To resolve...

...pass through A. The proposition further tells us that the magnitude of each of the forces P, F, R, is proportional to the sine of the angle between the other two. Hence Pi F: R :: ÄnBAC : ÀnBAD : sin CAO; therefore „ = _ s ___. , , P smBAC But since AB = BG...

...direction, of the resultant. 2. When three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two. Two equal particles, each attracting with a force varying directly as the distance, are situated at...

...direction, of the resultant. 2. When three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two. Two equal particles, each attracting with a force varying directly as the distance, are situated at...

...directions are not parallel:— (i) Their lines of action must meet in a point, Art. (22). (ii) Each force is proportional to the sine of the angle between the other two, the direction of each force lying without the angle formed by the other two, Art. (23). For this latter...

...u. P : Q : M' : : sin QOR' : sin FOR' : sin POQ. _ Hence, if three forces are in equilibrium, each is proportional to the sine of the angle between the other two. EXAMPLES. 1. Two forces, P and Q, are equal in intensity to 24 and 30, respectively, and the angle...