That's still not right but hopefully you can understand it. I wish it would just let me post a link to an image.
Leave spaces between the letters and numbers of the image web site and it should appear in your post
i . imgur . com/Ki7wM.jpg
on the whole system:
F = (m+M)a
on block m, call Fb the force between blocks:
F - Fb = m a
(m+M)a - Fb = m a
Fb = M a
for no slip:
Fb u = m g
Fb = m g/u
M a = m g/u
a = (m/M) (g/u)
so using F = (m+M)a
F = (m+M)(m/M)(g/u)
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