I calculated a very simple pendulum system, using one non - holonomic 
constraint. All worked as per expectation. Then I tried to calculate the 
reactive forces at the point of attachment, using KM.auxiliary_eqs. (KM 
being the Kanes object).
I replaced the accelerations of the generalised coordinates by the 
respective entries of rhs.
(rhs = mass_matrix)**(-1) * forcing )
However, now the results did not meet expectations at all.

Did I do something wrong, or is it just not possible to do what I tried?

Thanks a lot for any comments / suggestions!

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