Finding a Net Force: Pulling on a Stubborn Mule

AI Thread Summary
Two individuals are pulling a stubborn mule at angles of 75 degrees and 60 degrees with forces of 80 N and 120 N, respectively. The resultant force calculated is 184 N at an angle of 78 degrees north of east. To achieve a net force of zero, a third person must exert a force of 184 N in the opposite direction, which is 78 degrees south of west. The discussion clarifies that the third force should match the magnitude of the resultant force but act in the opposite direction. Understanding net force as the vector sum of all forces is essential for solving the problem.
AznBoi
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Ok, last problem of the day lol.. I have found one answer to the problem already, I just need the other half. I'm confused about it though. Please help, thanks. Here Goes:

Two people pull on a stubborn mule, as seen from a helicopter. The picture is like this:
_V_
0

Ok, in the middle of V it is the y-axis. In quadrant I and II there are a vector in each. The 0 is the mule that they are pulling on.

In quadrant II, they angle is 75 degrees, the Force is 80 N.

In quadrant I, the angle is 60 degrees, the Force is 120 N.


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


My answer for a):
I got 184 N force at +78 degree north of west.
I used graphical methods(daisy chain, by connected the tail of vector(80 N) to vector (120 N).

How do I find the force that a third person would have to exert on the mule to make the net force equal zero?? I don't even get what a net force is =P
 
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AznBoi said:
Ok, last problem of the day lol.. I have found one answer to the problem already, I just need the other half. I'm confused about it though. Please help, thanks. Here Goes:

Two people pull on a stubborn mule, as seen from a helicopter. The picture is like this:
_V_
0

Ok, in the middle of V it is the y-axis. In quadrant I and II there are a vector in each. The 0 is the mule that they are pulling on.

In quadrant II, they angle is 75 degrees, the Force is 80 N.

In quadrant I, the angle is 60 degrees, the Force is 120 N.

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


My answer for a):
I got 184 N force at +78 degree north of west.
I used graphical methods(daisy chain, by connected the tail of vector(80 N) to vector (120 N).

How do I find the force that a third person would have to exert on the mule to make the net force equal zero?? I don't even get what a net force is =P
The angle should be 78 degrees north of east (or 12 degrees east of north). The net force is the vector sum of all forces. To make it zero, what should be the magnitude and direction of the third force?
 
yeah I meant 78 degrees N of E.. Would the third Force be the opposite of the equivalent vector?
 
When it says "exert on the mule" does it mean that it is on the mule's side or on the 2 people's side?? I think that it is 184 N but the opposite direction of the 78 degrees N of E. Therefore it would be -78 degrees S of W??
 
Is that right?? 184 N that is -78 degrees S of W?? Like /
 
AznBoi said:
yeah I meant 78 degrees N of E.. Would the third Force be the opposite of the equivalent vector?
Yes, same magnitude, opposite direction. With the third force applied, the net (resultant) force is 0.
 
Ok thanks :smile:
 
AznBoi said:
Is that right?? 184 N that is -78 degrees S of W?? Like /
Yes, but get rid of that minus sign.
 
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