Cable BAC passes through a frictionless ring A and is attached to fixed supports

Question

Cable BAC passes through a frictionless ring A and is attached to fixed supports at B and C, while cables AD and AE are both tied to the ring and are attached, respectively, to supports at D and E. Knowing that a 200-Lb vertical load P is applied to ring A, determine the tension in each of the cables.

Answers are T(BAC) = 76.7 lb, T(AD) = 26.9 lb, T(AE) = 49.2 lb. I'm having particular trouble with cable BAC. Tension should be the same throughout??? Please be specific. Thanks. This is from Vector Mechanics for Engineers, 10th edition, Beer, Johnston

Explanation / Answer

Yes, you are right. tension will be same throughout in string BAC because its a single string and we assume that ring is frictionless.

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