(Book: 5.3, 4, 5)
The forces we will deal with in this class are:
Definition: The total stress tensor is:
Exercise:
Derive the Archimedes law if the pressure is given by, where the y-axis is vertically upward. Hint: use the divergence theorem to convert the surface integral into a volume integral.
The net force on a finite region is:
We rewrite often in terms of the gravitational potential: