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A small block of mass m2​ hangs from a massless rope wrapped around the inner cylinder...

A small block of mass m2​ hangs from a massless rope wrapped around the inner cylinder of a pulley with inner radius of R2​. The moment of inertia of the entire pulley is I = 4m2(R2​)2. Another block m1​= m2​ is connected to the outer cylinder of the pulley via a horizontal massless rope wrapped around the outer cylinder of the pulley with radius R1=2R2​. The coefficient of kinetic friction between the block and the horizontal surface is μk​ =​ 1/8 (i.e. the frictional force is f = 1/8m1​g). When m2 is released from rest, what is the angular acceleration (α) of the block and pulley system?

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for mass m2 for mass m1 T1 for the pulley net torque-1 α 12 R2

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