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 = 110 N and F2 = 90.0 N.)

(a) Find the single force that is equivalent to the two forces shown above. (magnitude and direction)
    (b) Find the force that a third person would have to exert on the mule to make the net force equal to zero. (magnitude and direction)

The helicopter view in the figure below shows two people pulling on a stubborn mule. (Take F1 = 110 N and F2 = 90.0 N.) Find the single force that is equivalent to the two forces shown above. (magnitude and direction) Find the force that a third person would have to exert on the mule to make the net force equal to zero. (magnitude and direction)

Explanation / Answer

find the x and y components for each vector (F3 refers to the single force we are looking for that makes the net force 0)
Fx1 + Fx2 + Fx3= 0 and Fy1 + Fy2 + Fy3=0
Fx1= F1cos60= 110cos60
Fx2= F2cos75= 90cos75
Fx3= - (Fx1+ Fx2) = -78.2937

Fy1= F1sin60= 110sin60
Fy2= F2sin75 = 90sin75
Fy3= - (Fy1 + Fy2) = - 96.4596

use the pthagorean theorem to find the magnitude which is F3= 124.2350 N
then you can use tan inverse to find the angle. Which should be 50.93 degress but in the third quadrant so looks like 230.93 degrees

NOTE: F3= 124. 23 N and 50.93 degrees answers part a.

Edit #1: accidentaly posted without finishing answer
Edit #2: added note

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