Suspended Block: Find Tensions T1 & T2

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The discussion focuses on calculating the tensions T1 and T2 in a system where a 17 kg block is suspended by three ropes. The user proposes equations based on the forces acting on the block, including horizontal and vertical components. There is confusion regarding the role of Tension 3 (T3) in the vertical force equation, with clarification needed on how it interacts with the other tensions and the weight of the block. The user seeks assistance in resolving the equations to find T2 in terms of T1 and understanding the impact of T3. The conversation highlights the importance of correctly applying force balance principles in static equilibrium problems.
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1. A block of mas M=17kg is suspended by three ropes as shown in the figure. The two ropes attached to the ceiling each make an angle of 41° with the horizontal

a)What is the tension T2 in the vertical rope?
b)What is the tension 1 in the ropes attached to the ceiling?

Homework Equations


F=ma3.
I made up these formulas:
Fx=T2cosθ2-T1cosθ1=0
Fy=T1sinθ1+T2sinθ2+T3=mg or Fy=T1sinθ1+T2sinθ2+T3-mg= 0

My idea is to rewrite T2 in terms of T1 in the Fx ecuation so then i would substitue to get the value of T2
I had made a similar problem like this, and using this procedure. but the difference is that Tension 3, how does it affect the problem? it does no affect the Fx forces,, but it does for the Fy, right?
With this i would get T2

Would you explain to me?
THanks!

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Please make that angle 41,, the one of the image is 44 thanks
 
The Fy equation cannot be correct. If it has T1 & T2, it cannot have mg, because mg applies to the block, and the only other force acting on the block is T3.
 
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