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Numerade Educator

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Problem 33 Medium Difficulty

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

Answer

Magnitude of the resultant force: 100$\sqrt{7} N$
Angle: $\approx 139.1^{\circ}$

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Video Transcript

So for this problem we want to find um the resultant, the magnitude, the resultant force and the angle that makes with the positive X. Axis. So how we do this is um when we're given say two forces or three forces, we want to take their vector form and add them up together. Then once we have F. X. Plus effects and then that's y plus wine, we can then find the magnitude of this, taking the square root of the sum of the squares. And then if we want to find data, we are going to take the inverse tangent of this component divided by this component right here and that will end up giving us our fate of value above the X axis. So we end up finding that that answer is going to be 100 route seven newtons and it's going to be 139 degree 139.1 degrees above the X axis.