Moedlica and SIMULINK yield completely different results!

I'm trying to simulate a 1D model of two bodies sliding on each other with a Coulomb friction in between. I have explained the issue here in this SO post:
I would appreciate if you could help me with this.

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As mentioned in the post, the time step and solver settings might not be identical for both the models. Hence this difference in outputs that you are observing.

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Asked:

on 10 Nov 2017

Edited:

on 13 Nov 2017

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