  # Which is the correct statement about law of polygon of forces?

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Updated on: October 17th, 2023 (a) if any number of forces acting at a point can be represented by the sides of a polygon taken in order, then the forces are in equilibrium

(b) if any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon, then the forces are in equilibrium

(c) if a polygon representing forces acting at a point is closed then forces are in equilibrium

(d) if any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon taken in order, their resultant may be represented in magnitude and direction by the closing side of the polygon, taken in the opposite order.

The correct option is (d) i.e. if any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon taken in order, their resultant may be represented in magnitude and direction by the closing side of the polygon, taken in the opposite order.

Table of content ### Law of Polygon of Forces

Laws for the Resultant Force

The resultant force, of a given system of forces, may also be found out by the following laws:

1. Triangle law of forces.
2. 2. Polygon law of forces.

Triangle Law of Forces

If two forces acting simultaneously on a particle are represented in magnitude and direction by the two sides of a triangle, taken in order; their resultant may be represented in magnitude and direction by the third side of the triangle, taken in the opposite order, the statement reads.

Polygon Law of Forces

The phrase if a number of forces acting simultaneously on a particle are represented in magnitude and direction by the sides of a polygon taken in order; then the resultant of all these forces may be represented, in magnitude and direction, by the closing side of the polygon, taken in opposite order is an extension of the Triangle Law of Forces for more than two forces.

Summary:

## Which is the correct statement about law of polygon of forces?

If any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon taken in order, their results may be represented in magnitude and direction by the closing side of the polygon, taken in the opposite order is the correct statement about the law of polygon of forces is the correct statement.

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