How to Add Force Vectors on a Stalled Barge?

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In summary, two tractors are pulling a stalled barge upstream along a river. Each cable has a tension of 10,000N and makes a 40 degree angle with each other. To find the resultant force on the barge, the force vectors must be added together by treating them as independent forces and considering their upstream/downstream and cross stream components.
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.bonbon.
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Homework Statement



A stalled barge is pulled upstream along a river (East) by 2 tractors, one on each bank. If the tension in each cable is 10,000N, and the cables make a 40 degree angle with each other, find the resultant force (magnitude and direction) on the barge from the cables.

The Attempt at a Solution



I need to add the force vectors and I'm not sure how to do that.

And this is the illustration I made.
______________________________
arrow up with 10,000N
[_Barge_]40 degrees----------------
arrow down with 10,000N
______________________________
 
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  • #2
.bonbon. said:
I need to add the force vectors and I'm not sure how to do that.

...by simply adding them? Just treat each force as an independent one and then add the relevant vector components together.
 
  • #3
The force in each cable can also be represented as an up/downstream force, plus a cross stream force. Once you've found those they're a lot easier to add to each other.
 

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