Resultant Force Formula

The resultant force is described as the total amount of force acting on the object or body along with direction if the body. The resultant force is zero when the object is at rest or it is travelling with the same velocity as the object. The resultant force should be equal for all the force since all the force is acting in the same direction.

If one force is acting perpendicular to another, the resultant force is determined by using the Pythagorean theorem. The Resultant force formula is given by,

                                FR = F1 + F2 + F3

Where

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

Problem 1

Determine the FR when three forces such as 80N, 100N and 30N are acting on an object simultaneously and 30N force is opposite to the other two forces.

Solution:

Given:

F1 = 80N

F2 = 100N

F3 = -30N

F3 is a negative value because it is acting opposite to the other two force

The formula for resultant force is

FR = F1+F2+F3

FR = 80 + 100 -30

FR = 150 N

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