The helicopter view in the figure below shows two people pulling on a stubborn m

Question

The helicopter view in the figure below shows two people pulling on a stubborn mule. (Take F1 = 129 N and F2 = 61.0 N.)

The helicopter view in the figure below shows two people pulling on a stubborn mule. (Take F1 = 129 N and F2 = 61.0 N.) Find the single force that is equivalent to the two forces shown above. Magnitude N direction -(counterclockwise from the +x-axis) Find the force that a third person would have to exert on the mule to make the net force equal to zero. magnitude direction (counterclockwise from the +x-axis)

Explanation / Answer

F1 = 129* (cos60i + sin60j) = 64.5 i + 111.717 j

F2 = 61* (cos105i + sin105 j) = -15.787i + 58.921 j

F1 + F2 = 48.713 i + 170.638 j

magnitude = sqrt(48.713^2 + 170.638^2) = 177.455 N

direction = atan(170.638 / 48.713) = 74.067 deg

magnitude = 177.455 N

direction = 74.067 + 180 = 254.067 deg

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