The 9-ft steel beam weighs 280 lb and is hoisted from rest where the tension in each of...

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 α₁ = 4 rad /sec² and α₂ = 6 rad /sec², calculate the corresponding tensions T_A and T_B in the cables. The beam may be treated as a slender bar.