Solve the Rolling Question: Finding Horizontal Acceleration Without Slipping

[BHphy]

rolling question, HELP!

Homework Statement

The sistem in picture is moving without sliping, what is horizontal acceleration?
please help

 

[HallsofIvy]

I assume that mass m3 is being pulled downward by gravity, causing the wheel with mass m2 to turn, without slipping, pushing mass m3 ahead of it.
The force is (m3)g and the total mass of the system m1+ m2+ m3. You will also need to take into account the moment of inertia of the wheel.

 

[BHphy]

I had such ideas but how can I take into account the moment of inertia, is there any other way, can anyone solve this and post me on email, greljo@hotmail.com, it is urgent, thanks!

 

[BHphy]

I had such ideas but how can I take into account the moment of inertia, is there any other way, can anyone solve this and post me on email, greljo@hotmail.com, it is urgent, thanks!