# non-concurrent forces

## Problem 260 - 261 | Resultant of Non-Concurrent Force System

**Problem 260**

The effect of a certain non-concurrent force system is defined by the following data: ΣF_{x} = +90 kN, ΣF_{y} = -60 kN, and ΣM_{O} = 360 kN·m counterclockwise. Determine the point at which the resultant intersects the x-axis.

## Resultant of Non-Concurrent Force System

The resultant of non-concurrent force system is defined according to magnitude, inclination, and position.

The magnitude of the resultant can be found as follows

$R_x = \Sigma F_x$

$R_y = \Sigma F_y$

$R = \sqrt{{R_x}^2 + {R_y}^2}$

## Resultant of Concurrent Force System

Resultant of a force system is a force or a couple that will have the same effect to the body, both in translation and rotation, if all the forces are removed and replaced by the resultant.

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