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Problem 32 Medium Difficulty

Find the magnitude of the resultant force and the angle it makes with the positive x-axis.

Answer

$\cdot$ The magnitude of the resultant force: 28.66 lb-weight.
$\cdot$ The direction of the resultant force: $12.37^{\circ}$ with the $x$ -axis.

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Video Transcript

So for this problem we want to find the magnitude um of the resultant force and the angle that makes with the positive X. Axis. So for this problem we're given um were given to forces or more than one forced. And we want to first find the resultant force so the resultant force will be found. Once we found if we have our two forces, if we have to say the first force we have it's X. Component and we have the white component and then we have a second force. Uh huh. This component in a white component. Mhm. We have to first add up those vectors. So we have um and then once we do that we can take the magnitude of them once we add these up. And then we can also find the angle by doing the inverse tangent of B over A.