...angle 6 to the vertical. Find its acceleration in the direction of motion. 5. Define a couple. Prove that the moment of a couple about any point in its plane is constant. 6. Show that a force acting at a point is equivalent to an equal force acting at another...

...acting along 0 1 and 2 3 form a new couple Q,Q2, which would replace the original couple P.P2. Now, the moment of a couple about any point in its plane is equal to the product of one of its equal forces into the perpendicular distance between their directions....

...acting along 0 1 and 2 3 form a new couple QiC^, which would replace the original couple PiP,. Now, the moment of a couple about any point in its plane is equal to the product of one of its equal forces into the perpendicular distance between their directions....

...point C between the forces, -F. Ca-F.Cb= -F.ab. The minus sign denotes clockwise rotation. In general, the moment of a couple about any point in its plane is constant and equal to the product of the arm by one of the forces. (Compare page 186, Kinematics of...

...x OM - P2 x OK ie, „ „ = Pj x M N. But P! x MN is clearly a constant quantity. It is, in factr •what we have already defined as the Moment of the...moment, we at once obtain the following corollaries from the above Proposition : — (1) A Couple may be considered as acting anywhere in its own plane. (2)...

...Pj x M N. But Pj x MN is clearly a constant quantity. It is, in fact, •what we have already denned as the Moment of the Couple. Hence, we see that the...moment, we at once obtain the following corollaries from the above Proposition : — (1) A Couple may be considered as acting anywhere in its own plane. (2)...

...Moments of the two forces of a couple about any point in their plane is constant ; or in other words, The Moment of a Couple about any point in its plane is constant Let Pj, P2 be the equal forces constituting the couple and O be any , point in the plane ofi...

...„ = - P2 x О N. Moment of Couple about 0 = Pj x О M - P2 x О N. ie, „ „ = Pj x M N. But Pj x MN is clearly a constant quantity. It is, in fact,...its rotatory effect is measured by its moment, we at onco obtain the following corollaries from the above Proposition : — (1) A Couple may be considered...

...And, „ Ps „ =-P2xON. Moment of Couple about 0 = Pj x OM - P2 x 0 N. «.«., „ „ =PlXMN. But Pj x MN is clearly a constant quantity. It is, in fact,...position of that point with respect to the couple. Eemembering, then, that a couple has no translatory effect on the body on which it acts, and that its...

...equilibrated by another couple tending to cause rotation in the opposite direction and having an equal moment. The moment of a couple about any point in its plane is constant. A couple tending to turn a body in the same direction as the hands of a watch is called a...