The pulley rotates.
Find the tensions, [itex]T_1, T_2, T_3[/itex]
The Attempt at a Solution
I know how to solve the problem if the pulley doesn't rotate because the systems would be in equilibrium (Newton's first law) and dividing into 3 systems (one for each tension) you get [itex]T_1=m_1g[/itex], [itex]T_2=m_2g[/itex] and [itex]T_3=m_1g+m_2g[/itex].
But I have no idea what changes when the pulley starts rotating. Can somebody give me some leads?