...respectively referred to this plane. The result contained in this equation may then be thus enunciated : The moment of the resultant of a system of parallel...with respect to any plane whatever ', is equal to the sum of the moments of the forces with respect to the same plane. Since the forces are affected with...

...respectively referred to this plane. The result contained in this equation may then be thus enunciated : The moment of the resultant of a system of parallel...with respect to any plane whatever, is equal to the sum of the moments of the forces with respect to the same plane. Since the forces are affected with...

...respectively referred to this plane. The result contained in this equation may then be thus enunciated : The moment of the resultant of a system of parallel forces, with respect to my plane whatever, is equal to the sum of the moments of the forces with respect to the same plane....

...resultant of two forces meeting at a point, with respect to any other point situated in their plane, is equal to the algebraic sum of the moments of the components with respect to the same point. Exercises on the Composition of Forces. I. If two forces, P and Q, act upon the same point of...

...RA = PJA! + P2A2 + <fee. — Q^ — Q2&2, - &c. 54. 27ie algebraic mm of the moments of any number of parallel forces, with respect to any plane whatever, is equal to the moment of the resultant with respect to that plane. Let the forces Pu P2, &c., act on one side of the...

...resultant of two forces meeting at a point, with respect to any other point situated in their plane, is equal to the algebraic sum of the moments of the components with respect to the same point. I Exercises on the Composition of Forces. ( I. If two forces, P and Q, act upon the same point...

...From the principle of moments (Art. 37), (P+ P' + P"+ &c.)r - Pp + P'p' + &c.; ,= Hence, the lever arm of the resultant of a system of parallel forces, with respect to an axis at right-angles to their direction, is equal to the algebraic sum of the moments of the forces...

...And in like manner, we find, r* From either of the above expressions we infer that the ' lever arm of the resultant of a system of parallel forces with respect to any axis perpendicular to the forces, is equal ^q to the algebraic sum of the moments of the forces with...

.../;,, and BO sin 6 = h, ; therefore, E& = PA + PA49. The algebraic sum of the moments of any number of parallel forces with respect to any plane whatever is equal to the moment of the resultant until respect to that piano. Let the forces be P,, P2, P3, &c., acting at points...

...their plane is zero. It has been shown that the moment of the resultant, with respect to any origin, is equal to the algebraic sum of the moments of the components with respect to that origin. If the system is in equilibrium the resultant is zero, therefore its moment is zero whatever...