Work Energy Principle

1. The problem statement, all variables and given/known data

taking T1 for example
why does the disk have no translational kinetic energy component?

And why does the friction do no work?

2. Relevant equations

Kinetic energy of a rigid body in planar motion

T = ##\frac{1}{2}m{v_G}^2 + \frac{1}{2}I_G{w_B}^2##

3. The attempt at a solution

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