Two ropes holding a weight. System is in equilibrium, how do I find T3?

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SUMMARY

The discussion focuses on solving for the tension T3 in a system of ropes in equilibrium, given the angles and the weight attached. The angles provided are theta1=55.9 degrees and theta2=23.2 degrees, with a weight of 295 N. The participant successfully calculated T1 as 276 N and T2 as 168 N, concluding that T3 must equal the weight of 295 N due to the equilibrium condition of the system.

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Homework Statement



I was given:
the angles connecting each rope to the celing (theta1=55.9, theta2=23.2)
the weight attached to the third rope (295 N)
the system is in equilibrium

Homework Equations


system is in equilibrium


The Attempt at a Solution


I have solved for T1=276N, and T2=168N, both of which I know to be true.

How do I solve for T3 (the rope connecting the other two ropes to the weight?) What information is relevant or helpful (e.g. how knowing the system is in equilibrium helps to find T1 and T2)?

I hope you can help!
 
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Well, if I understand the problem correctly, one end of the 3rd rope is attached to 295 N weight only, and nothing else (at that particular end of the rope). The weight is not accelerating. So what must be the tension on that particular rope?
 
OH! It would be equal to the weight... because the system is in equilibrium!

Yeah I just checked and I got it. Thanks!
 

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