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physstudent1

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## Homework Statement

If the maximum tension either rope can sustaine without breaking is 5000N determine the maximum value of the hanging weight that these ropes can safetly support.

the diagram shows two ropes connecting at a node which leads down to a weight,

the first rope on the left is connected to the ceiling making a 60 degree angle with the ceiling and the rope on the left is connected to the ceiling making a 40 degree angle with the ceiling they both converge into one point where a weight hangs.

## Homework Equations

## The Attempt at a Solution

I drew a free body diagram at the point where the two ropes meet and the weight hangs. And I did 5000*sin60 + 5000*sin40 = maxweight but this is not giving me the correct answer the answer is 6400N. I don't get what I am doing wrong. Here is an attempt at the diagram haha, the angles would be formed on the inside of the V at the top between ceiling and the two sides of the rope.

(V's point to where the angles are)

---V--V-

--\----/---

---\--/----

----\/-----

----|------

---weight---

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