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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; Use the equation to determine the point of application with ...
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 ...
The work W done by a constant force of magnitude F on a point that moves a displacement s in a straight line in the direction of the force is the product = For example, if a force of 10 newtons (F = 10 N) acts along a point that travels 2 metres (s = 2 m), then W = Fs = (10 N) (2 m) = 20 J. This is approximately the work done lifting a 1 kg ...
In three dimensions, the torque is a pseudovector; for point particles, it is given by the cross product of the displacement vector and the force vector. The direction of the torque can be determined by using the right hand grip rule: if the fingers of the right hand are curled from the direction of the lever arm to the direction of the force ...
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 ...
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]
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.