Find the resultant of the following forces: 3.0N east, 4.0N west, and 5.0N in a direction north 60° west.

5.5 N at 50.8° north of west.

Explanation:

To find the resultant of these forces, we have to resolve each force along the x- and y-direction, then find the components of the resultant force, and then calculate the resultant force.

The three forces are:

(east)

(west)

(at 60° north of west)

Taking east as positive x-direction and north as positive y-direction, the components of the forces along the 2 directions are:

Threfore, the components of the resultant force are:

Therefore, the magnitude of the resultant force is

And the direction is:

And since the x-component is negative, it means that this angle is measured as north of west.

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