Physics Ch. 13 Moment of Inertia Application (7 of 7) ERROR! 2 Pulleys both with Mass 'REDO'

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We will find T1=?, T2=? of a 2 pulley system attached to the ceiling with mass.

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[Aristothink]

If the second pulley has mass, its mass should be considered when you did T1+T2-(mg-ma)=0 at (4m30sec). Instead of being m shouldn't it be m+M ? Besides at your final acceleration formula, at 4m45sec, when you make m=0, a=0, but if the pulley has mass it will still fall down even without the mass m, right ? By the way, great explanation, as always ! :)

[Unidentifying]

Flying butter is asking, system not in equilibrium or constant motion, m has acceleration downward? How sigmaF=0?