Dynamics: A wedge, a mass, and two pulleys

[A185]

Homework Statement

In the arrangement shown in the figure, a block of mass m=2kg lies on the wedge of mass M=8kg.Find the initial acceleration of the wedge.
Assume pulleys and thread massless and surfaces smooth.

Relevant Equations

FBDs

Problem Statement: In the arrangement shown in the figure, a block of mass m=2kg lies on the wedge of mass M=8kg.Find the initial acceleration of the wedge.
Assume pulleys and thread massless and surfaces smooth.
Relevant Equations: FBDs

 

[mfb]

It is hard to read what you did, you didn't introduce coordinates or describe what you calculated. It would be much easier if you show your work here in the thread and describe it as well.

Keep in mind that the motion of the block will not be aligned with the slope of the wedge as the wedge moves.

 

[kuruman]

In your FBD of the wedge it looks like you missed tension $T$ along the incline.