resultant

In mechanics, a resultant is a single force that represents the combined effect of multiple forces acting on an object. When several forces are applied, they can be replaced by a single resultant force that produces the same net effect, both in terms of linear motion and rotation. This concept is crucial in statics, the study of bodies in equilibrium, where the net force and net torque must be zero for an object to remain stationary. If a net force and torque are present, they can be represented by a single resultant force acting at a specific point. Conversely, an equilibrant is a force applied to counteract the resultant, bringing the object into equilibrium.1

A vector is a quantity possessing both magnitude and direction, often represented by an arrow. In contrast, a scalar has only magnitude. Vectors are fundamental in mechanics for describing quantities like displacement, velocity, and force, allowing for consistent mathematical descriptions across different frames of reference. For instance, Coulomb's law describes the electric force between charges as a vector quantity.23