What is Equilibrium of Concurrent Forces?

Equilibrium of Constructor Forces means that at a definite point vector sum of all the forces applied to an object are equal in magnitude and they are opposed to each other. In other words, the forces that act on the object have a balance i.e. equal and opposite forces due to which there is no change in velocity.

This principle was initially established on Newton’s first law of motion which implies that an object at rest will stay at rest and an object moving will continue moving with an unbalanced force unless another force arises.

Mathematically, the equilibrium of concurrent forces can be expressed as:

ΣF = 0

Here, ΣF is the vector sum (also referred to as the resultant) of all the forces that the object is being subjected to. The balance of the forces is “zero” when the sum is zero, the object is set to equilibrium.

Definition of Equilibrium of Concurrent Forces

A system of concurrent forces is said to be in equilibrium if the vector sum of all the forces acting at a common point is zero.

Formula of Equilibrium of Concurrent Forces

For the equilibrium of concurrent forces in two dimensions, the following vector equation must hold:

[Tex]\sum \vec{F} = \vec{F}_1 + \vec{F}_2 + \ldots + \vec{F}_n = 0 [/Tex]

Where:

[Tex]\sum \vec{F} [/Tex]means the sum of all forces in a vectorial way.

[Tex]\sum \vec{F}_1, \vec{F}_2, \ldots, \vec{F}_n [/Tex] are vectors of individual forces forcibly acting on the object.

Examples of Equilibrium of Concurrent Forces

• Tug-of-War: In a tug-of-war game, if the two opposing teams apply equal forces of equal magnitudes but in opposite directions, then they will not be able to move the rope. When this happens, the system is said to be in equilibrium. Net forces can go either way, and this will lead to a motion towards that side.
• Stationary Car: In the case of a car that is resting on a flat surface, the forces acting upon it which include gravity (that pulls everything downward) and the normal (upward) force that the ground pushes against it have a zero-net force when they are taken together. As a result, we see the car is at rest.

Equilibrium of concurrent forces refers to a condition where a system of forces acting at a single point results in no net force on that point. For a system of concurrent forces to be in equilibrium, the vector sum of all the forces must be zero.

In this article, we will discuss about equilibrium of concurrent forces, its formula, examples, types of equilibrium of concurrent forces along with some examples based on it.