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

AI Thread Summary
To find the tension T3 in a system with two ropes holding a 295 N weight in equilibrium, it is established that T3 must equal the weight since the system is not accelerating. The angles of the ropes to the ceiling (theta1=55.9, theta2=23.2) were provided, and tensions T1 and T2 were calculated as 276 N and 168 N, respectively. Understanding that the system is in equilibrium simplifies the problem, confirming that T3 equals the weight of 295 N. This conclusion is reached by recognizing that the forces acting on the weight must balance out. The solution effectively demonstrates the principles of equilibrium in physics.
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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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