Parallel forces:
Forces whose lines of action are parallel are called as parallel forces. Parallel forces are of 2 type:
(i). Like parallel forces:
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If 2 forces acting at different points of a rigid body be such that their lines of action are in one direction, we say that the forces are like parallel forces.
In the figure, 2 forces P and Q are known like parallel forces, here P > Q.
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(ii). Unlike parallel forces:
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If 2 forces acting at different points of a rigid body be such that their lines of action are in the opposite direction, we say that forces are unlike parallel forces.
In the figure, two forces P and Q are called as unlike parallel forces, here P > Q.
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Notes:
- The resultant of 2 like parallel forces P and Q acting at A and B equivalent to a force P + Q acting in same direction at C, a point in AB such that P . AC = Q . BC.
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- If P ≥ Q, then CA < BC, that is the resultant R = P + Q will act at a point nearer to larger force and farther from the smaller force.
that is each force P, Q and R respectively is proportional to the distance between the other two.
- The resultant of 2 unlike parallel forces of magnitude P and Q (P > Q), acting at the points A and B of a rigid body is a force of magnitude P -Q, parallel to them in direction of the greater force P and acts at point C, which divides AB externally in ratio Q : P that is
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