(Solution) - The cabin of an aerial tramway is suspended from a set of -(2025 Original AI-Free Solution)

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The cabin of an aerial tramway is suspended from a set of wheels that can roll freely on the support cable ACB and is being pulled at a constant speed by cable DE. Knowing that ? = 42° and ? = 32°, that the tension in cable DE is 20kN, and assuming the tension in cable DF to be negligible, determine
(a) The combined weight of the cabin, its support system, and its passengers,
(b) The tension in the support cable ACB.