...forces is the following. 71. Composition of two Forces. — Parallelogram Of Forces. If two forces are represented in magnitude and direction by the adjacent sides of a parallelogram, their resultant will be represented in magnitude and direction by the diagonal. Let F, F, be two forces...

...which may be thus enunciated: — If two forces acting on one point, both either to or from the point, be represented in magnitude and direction by the adjacent sides of a parallelogram ; then, the diagonal of tho parallelogram drawn through the point will represent in magnitude and direction...

...Any given force may be replaced by two components in any two directions, provided the components can be represented in magnitude and direction by the adjacent sides of a parallelogram, the diagonal of which represents the given force. If the components X, Y be parallel respectively to two...

...or, where motion is alluded to, as the Parallelogram Velocities. The law is thus expressed. If two forces be represented in magnitude and direction by the adjacent sides of a parallelogram, an equivalent force will be represented in magnitude and direction by its diagonal. The two side forces...

...of which may be positive and the others negative, and R is the resultant ; then R = J*[ + Fi + F3 + etc. = SF (45) 43. If two concurring forces be represented in magnitude and direction .by tfo adjacent sides of a parallelogram, the resultant will be represented in 'magnitude and direction...

...is the resultant sought. This fundamental proposition may be thus stated : If two component motions be represented in magnitude and direction by the adjacent sides of a parallelogram, the resultant will be similarly represented by the diagonal passing through the point of intersection. 12 COMPOSITION AND...

...magnitude and direction by AB, AC, and AD. (See Minchin, p. 7, also . Garnett's Dynamics, p. 10.) Hence if two concurring forces be represented in magnitude...direction by the adjacent sides of a parallelogram, their resultant will be represented in magnitude and direction by the diagonal of the parallelogram....

...FORCES. — If two forces (taken as producing velocities constant during a moment) act on a particle, and be represented in magnitude and direction by the adjacent sides of a parallelogram ; the concurrent diagonal of the parallelogram will represent in magnitude and direction a third force which...

...(ie AE) represents the resultant. 57. Parallelogram of forces. — If two forces applied at a point be represented in magnitude and direction by the adjacent sides of a parallelogram, their resultant will be represented in magnitude and direction by the diagonal which passes through...

...second law of motion, and may be enunciated thus : — // two forces acting at a point be repvesented in magnitude and direction by the adjacent sides of a parallelogram, the resultant of these two forces tcill be represented in magnitude and direction by the diagonal of the parallelogram...