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Abul Kalam wrote:
I just now did an experiment: fuzzy sock resting on piece
of sandpaper. I observed the angle of incline A = 90 degrees
or more. Go figure out what mu is. It's a big number.
Even if you think this example is too artificial, you can
pretty easily come up with other examples of seriously
large static friction.
Regarding the general topic of strength of materials,
this is very, very complicated. If you want 1% of
the tip of the iceberg, read section 30-7 in chapter
30 of volume II of _The Feynman Lectures on Physics_.