I need help with F3-1. Please show all steps. :) The crate has a weight of 550 l

Question

I need help with F3-1. Please show all steps. :)

The crate has a weight of 550 lb. Determine the force in each supporting cable F3-1 The beam has a weight of 700 lb. Determine shortest cable ABC that can be used to lift it if the maximum force the cable can sustain is 1500lb.

Explanation / Answer

To balance the crate ==> force in cable AD = 550lb For point A to be in equilibrium ==> X components of tentions = 0 ==> Tabx = Tacx ==> Tab * cos(30) = Tac * 4/5 ==> Tab = 0.69 Tac Balancing vertical components ==> 550lb = Tab*sin(30) + Tac * 3/5 Solving ==> Tac = 582lb and Tab = 401.6lb

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