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Need help at this very minute with physics

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In Figure 10-53, two blocks, of mass m1 =400 g and m2 =600 g, are connected by a massless cord that is wrapped around a uniform disk of mass M = 500 g and radius R = 12.0 cm. The disk can rotate without friction about a fixed horizontal axis through its center; the cord cannot slip on the disk. The system is released from rest.

(a) Find the magnitude of the acceleration of the blocks.
(b) Find the tension T1 in the cord at the left.
(c) Find the tension T2 in the cord at the right.

First, calculate the moment of inertia for the pulley.

Then, notice on the pulley that angular acceleration is related to cord acceleration by

alpha*radius= linear acceleration.

Now, writing a system equation...

m2*(g-a)= pulling force by gravity
I*alpha= Torque on pulley
I*alpha/radius = force on pulley extreme
m1*a= tension on m1

m2*(g-a)=I*a /r^2+m1*a

solve for a.

check my thinking.

i need help with writing system of equations for ages

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