Need help Dynamic Problem: Plane Kinetic of rigid bodies.

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Homework Statement

The central moments of inertia of the gears A and B as shown are 10 kg.m2 and 20 kg.m2, respectively. If the mass of the block C is mC = 50 kg and the system is released from rest, determine alpha A of the gear A

fig is attached

Homework Equations

The Attempt at a Solution

I can compute alpha B from the data but how can to compute alpha A? I mean is there an equation related between them?

By the way, about alpha B, did my equation correct?

20 alphaB = 0.15 T
T - Wc = -mC aC
aC = alphaB x 0.15

thx for your helps!

Homework Statement

Homework Equations

The Attempt at a Solution

 

[LawrenceC]

Hint:

They are gears so they rotate and accelerate at different speeds. Determine relationship.