A solid metal pulley of mass m=2 kg and radius r=0.5 m is firmly attached to the ceiling but free to rotate about its center with negligible friction. A rope of negligible mass is wrapped around the pulley and pulled with a time-dependent force causing a tension of T(t)=Bt^2+y, where B=3.2N/s^2 and y=.2N

Determine the angular acceleration of the pulley. You must solve the problem using all the steps of the problem-solving methodology.

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