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The term resultant force should be understood to refer to both the forces and torques acting on a rigid body, which is why some use the term resultant force–torque. The force equal to the resultant force in magnitude, yet pointed in the opposite direction, is called an equilibrant force. [2]
Graphical placing of the resultant force. Resultant force and torque replaces the effects of a system of forces acting on the movement of a rigid body. An interesting special case is a torque-free resultant, which can be found as follows: Vector addition is used to find the net force;
Such experiments demonstrate the crucial properties that forces are additive vector quantities: they have magnitude and direction. [3] When two forces act on a point particle, the resulting force, the resultant (also called the net force), can be determined by following the parallelogram rule of vector addition: the addition of two vectors ...
By Newton's third law, these forces have equal magnitude but opposite direction, so they cancel when added, and is constant. Alternatively, if p {\displaystyle \mathbf {p} } is known to be constant, it follows that the forces have equal magnitude and opposite direction.
In physics, the line of action (also called line of application) of a force (F →) is a geometric representation of how the force is applied. It is the straight line through the point at which the force is applied, and is in the same direction as the vector F →. [1] [2]
To graphically determine the resultant force of multiple forces, the acting forces can be arranged as edges of a polygon by attaching the beginning of one force vector to the end of another in an arbitrary order. Then the vector value of the resultant force would be determined by the missing edge of the polygon. [2]
Because the angle of the equilibrant force is opposite of the resultant force, if 180 degrees are added or subtracted to the resultant force's angle, the equilibrant force's angle will be known. Multiplying the resultant force vector by a -1 will give the correct equilibrant force vector: <-10, -8>N x (-1) = <10, 8>N = C.
The force at the center of mass accelerates the body in the direction of the force without change in orientation. The general theorems are: [ 3 ] A single force acting at any point O′ of a rigid body can be replaced by an equal and parallel force F acting at any given point O and a couple with forces parallel to F whose moment is M = Fd , d ...