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Jan 18, 2019 at 7:54 vote accept Robert Leonillo
Jan 17, 2019 at 20:18 comment added joojaa @CarlWitthoft yes, a ideal force does not affect the mass of the system it is coming from outside the system, Moment of inertia determines how fast a rotating system accelerates, more mass means the inertia is is larger thus it takes more time for it to accelerate, all other things being same. So since the only difference in $T/I = \alpha $ is the I then it has a direct affect on acceleration.
Jan 17, 2019 at 20:07 comment added Carl Witthoft I'm skeptical - can you justify a mass-based force being different from a mythical "pure force" regardless of the vector to the pulley?
Jan 16, 2019 at 21:28 history answered joojaa CC BY-SA 4.0