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Based on the video - it looks like it could be a jittering (based on this) - others pointed out that incorrect inertial values could be the reason.
Can you try to remove model parts one by one and check if the model stays in place after it?
I don't know the SolidWorks software, but usually there is an option to choose the material and get inertial values directly from it.
If this is not possible, maybe you could do a rough estimation of it based on the cylinders containing each part? It must be done by hand, I am afraid. You could probably try to use this SDF Builder to calculate simpler basic shapes (box/cylinder/sphere).
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