Finding Tension ACB: Problem 2.53 Solution

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SUMMARY

The tension in cable ACB for problem 2.53 is definitively 1213N. The discussion clarifies that tension ACB equals tension CB, negating the need to calculate tension CA for this specific problem. The inquiry also raises questions about system stability without the traction cable and the effects of a non-frictionless pulley on the tension calculations.

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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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