Equilibrium of Hanging Bag of Cement: Finding Tensions in Wires

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A bag of cement weighing 300 N is suspended from three wires, with two wires making angles of 50.0° and 23.0° with the horizontal. The problem involves finding the tensions in the wires while ensuring the system is in equilibrium. The user initially struggles with understanding how to calculate the tensions but realizes that wire 3 must support the entire weight of the bag, resulting in a tension of 300 N. After breaking down the other two tensions into components, the user successfully solves the problem. The discussion highlights the importance of resolving forces into their components to analyze equilibrium in tension problems.
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Homework Statement


A bag of cement of weight 300 N hangs from three wires as suggested in Figure P5.18. Two of the wires make angles 1 = 50.0° and 2 = 23.0° with the horizontal. If the system is in equilibrium, find the tensions in the wires.

http://img165.imageshack.us/my.php?image=p524wq2.gif


I am not sure how to do this problem and I am having a lot of problems with tensions in general. If someone could help me start this problem it would be appreciated.
 
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Note that wire 3 supports the cement bag alone; what must the tension in it be?
 
I thought so, in which case it would be 300N. As far as the other two tensions, I am still at a loss.
 
break the other two tensions into components
 
Ok I figured out how to solve it, thanks for the help
 

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