The 9-ft steel beam weighs 280 lb and is hoisted from rest where the tension in each of the cables is 140 lb. If the hoisting drums are given initial angular accelerations a₁ = 4 rad/sec² and a₂ = 6 rad/sec², calculate the corresponding tensions T_A and T_B in the cables. The beam may be treated as a slender bar.

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15" 15" 3'- 3'- 3'- C