In the figure below, two pulleys are mounted on fixed axles that have negligible friction. The small pulley has a moment of inertia of 9.0 kg · m2; it is made up of two cylinders welded together, one of radius 7.0 cm and the other of radius 15.0 cm. The large pulley has a radius of 46.0 cm and a moment of inertia of 90 kg · m2; the pulleys are coupled using a light belt. A 6.00 kg mass hangs from the smaller pulley by a rope that is wound around the smaller cylinder. The system is initially at rest. The mass is let go and starts to fall.
a)Find the acceleration of the mass?

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