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QUESTION

A pulley with a mass-moment of inertia of 2.

A pulley with a mass-moment of inertia of 2.16 lb-ft-s2 is attached to two blocks with massless, inextensible cables as shown above. The pulley is rotating on frictionless bearings with an angular velocity of =+2.4 rad/s CCW at the instant shown. Block A weighs 75.6 lb while block B weighs 52.3 lb. The cable for block A is on a pulley radius of rA=1.25 ft, while the cable for block B is on a pulley radius of rB=0.80 ft. Block B slides on a horizontal surface with a kinetic coefficient of friction of k=0.40. Find the angular acceleration of the pulley and the tension in each cable.

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