The 9-ft steel beam —assumed a slender rod—weighs 280 lb and is
hoisted from rest, where the tension in each of the cables is 140
lb. The hoisting drums are given initial angular accelerations of
a_{1}=4rad/s^{2} and
a_{2}=6rad/s^{2}. Determine the corresponding
tensions in the cables, T_{A} and T_{B}

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