Question

The helicopter view in the figure below shows two people pulling on a stubborn mule. Assume that F1 is 120 N, and F2 is 70 N. The forces are measured in units of newtons (N).



The helicopter view in the figure below shows two people pulling on a stubborn mule. Assume that F1 is 120 N, and F2 is 70 N. The forces are measured in units of newtons (N). 

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(a) Find the single force that is equivalent to the two forces shown. 

(b) Find the force that a third person would have to exert on the mule to make the net force equal to zero.

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Answer #1

net horizontal force

Fx = 120 cos 60 - 70 cos 75

Fx = 41.882 N

net vertical force

Fy = 120 sin 60 + 70 sin 75

Fy = 171.537 N

net force

F^2 = Fx^2 + Fy^2

F = 176.58 N ===>>> ans

direction,

x = arctan ( Fy/Fx) = 76.28 ccw from +x axis ==>>> Ans

=======

b)

F = 176.58 N ====>> ans

dircetion

x = 76.28 + 180 = 256.28 ccw from +x axis ===>>> ans

=======

Comment in case any doubt, will reply for sure.. Goodluck

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