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Assume an object resting on a plane of inclination alpha.Let alphaA neat demonstration is to place a toy train engine on a track as you
start being zero and increase gradually. At some critical angle,
the friction at rest cannot overcome the tendency to slide, hence it starts
sliding. But the very moment it slides, the friction coefficient
increases and stops the motion. This poor object doesn't know what
to do: it is neither allowed to rest nor to move!
Regards Emilio