Solve the Rolling Question: Finding Horizontal Acceleration Without Slipping

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The discussion revolves around calculating the horizontal acceleration of a system involving a wheel and masses, where the wheel rolls without slipping. The user identifies that mass m3 is influenced by gravity, which causes the wheel with mass m2 to turn and propel mass m3 forward. Key considerations include the gravitational force acting on m3 and the total mass of the system, which consists of m1, m2, and m3. The moment of inertia of the wheel is also a critical factor in determining the acceleration. The user seeks urgent assistance in solving this problem, particularly regarding the incorporation of the moment of inertia.
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rolling question, HELP!

Homework Statement



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

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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.
 
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!
 
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!
 

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