Finding Minimum Friction for Static Wedge: A Free Body Analysis Approach

[safat]

Homework Statement

Find the minimum μ required between wedge M and ground so that it stays static.

Homework Equations

I already found the equations for accelerations and tension (when μ is big).
Do I need them?

The Attempt at a Solution

I would like to know whether I found all the forces acting on the wedge. (see attachment)
Which component should I use for the green arrow force?
NB the red forces act on the wedge

 

[haruspex]

Is the wedge massless? Is there friction between the wedge and M1?

 

[safat]

no, wedge has mas M, and its surface it's smooth.

 

[haruspex]

F1 and F2 are the tension, yes?

 

[safat]

I think so.

 

[haruspex]

Go through the usual free body analysis on the two blocks (assuming the wedge is stationary) to find the acceleration and the tension. Then figure out the forces the tension applies to the wedge.