Finding Tension ACB: Problem 2.53 Solution

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The discussion centers on calculating the tension in cable ACB for problem 2.53, with the confirmed answer being 1213N. The participant initially believed they needed to calculate tensions in cables CB and CA to find the resultant tension but realized that tension ACB equals tension CB. They question why this is the case and explore the implications of removing the traction cable and the effects of a non-frictionless pulley on system stability. The conversation highlights the importance of understanding tension relationships in cable systems.
CivilSigma
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For problem 2.53, they are asking us for the tension in cable ACB and the answer is 1213N.

Now to my understanding to find tension ACB, I need to find tension CB and CA then find the resultant of them, However I know that is wrong because when I calculated tension CB I got the answer of 1213N.

Now my question is, why is tension ACB = tension CB ?

Thank you in advance.
http://[Imgur](http://i.imgur.com/pOgJai9)
pOgJai9.jpg

dZyjo54.jpg
 
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If the traction cable were not there, what would happen? Is the system stable? What difference would it make if the pulley were not frictionless?
 

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