Question

so i need to calculate the moment of inertia of the pulley and the angular
acceleration of the pulley.

mass A = 9kg
Mass B = 15kg
Inner pulley= Mass 3kg R= 6cm
Outerpulley= mass 7kg R=12cm
both are disks glued together.
it is a composite pulley with two masses hanging. Mass A on the outer pulley held by a tension on the left side, and another Mass B on the inner pulley held by a tension on the right side.

For inertial i did I= 1/2mr^2+ 1/2mr^2

then for alpha i did
RT2-RT1= Ialpha

Body diagram to find T of both then plug into equation and solve for alpha

is this corect?