Kinetics of System Particle/ Pulley system with masses and i

[Shehry]

I can't seem to solve it, considering inertia can someone please solve it, both of the following question in the given picture. I would be very much thankful.

 

[haruspex]

I can't seem to solve it, considering inertia can someone please solve it, both of the following question in the given picture. I would be very much thankful.

This is clearly a homework problem. Please post in the appropriate forum, completing the template (and including some attempt).