Rigid body dynamics: falling stick

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Feodalherren
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Homework Statement


A stick of length L and mass m is falling on a table with kinetic friction uK and static friction uS. Find the equation that determines whether the rod will stick or slip.

If m = 10kg and L = 100cm, uS = 0.8, uK = 0.7 and initial theta = 30 degrees find the initial accel for stick and slip.

Homework Equations


Irod = (1/3)mL^2
M= r x F

The Attempt at a Solution


I'm so stuck.

I made an FBD but as far as I can see, there are no forces in the X-direction, so what exactly makes the thing slip?
 
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From my FBD:

Iα = -mg(L/2)Sinθ

then α = -(3/2L)gsinθ

so far so good?
 
By which the translational x-acceleration of the rod must be (taking positive x to the left):

Ax= -αRSinθ - uK*N / m

correct?