# If the angle between two forces increases, the magnitude of their resultant (a) decreases (b) increases (c) remains unchanged (d) first decreases and then increases

By BYJU'S Exam Prep

Updated on: September 25th, 2023

If the angle between two forces increases, the magnitude of their resultant decreases. The resultant of the force is given by the parallelogram law:

That is: Fres = √F12 + F22 + 2F1F2 Cos θ

From the above equation, we can conclude that:

as θ increases, the value of Cos θ decreases. therefore, the magnitude of the resultant force decreases.

### Resultant Force

The entire force operating on the item or body, combined with the body’s direction, is referred to as the resultant force. When the object is at rest or moving at the same speed as the object, the resultant force is zero. Since all forces are acting in the same direction, the combined force should be equal for all forces.

Formula of the resultant force

Force is an external agent that has the power to alter a body’s resting or moving position. It has a direction and a magnitude. The direction of the force is referred to as the force’s direction, and the point of application is where the force is exerted. The Pythagorean theorem is used to calculate the resultant force when two forces are acting perpendicularly to one another. Given by, is the formula for the resultant force.

FR = F1 + F2 + F3

Where:

The three forces that are acting on an object in the same direction are F1, F2, and F3.

Summary:

## If the angle between two forces increases, the magnitude of their resultant (a) decreases (b) increases (c) remains unchanged (d) first decreases and then increases

If the angle between two forces increases, the magnitude of their resultant decrease. The resultant force is the total force acting on the object or body along with the direction of the body.

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