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