Newton's bucket

[Ondrej Certik]

Hi,

here is a nice problem that I would like to be able to solve with
hermes eventually:

http://en.wikipedia.org/wiki/Bucket_argument

E.g. there are two ways to solve it and I would like to be able to use
both eventually:

1) relative to the laboratory, e.g. the bucket rotates and it makes
the (viscous) water rotate as well

2) in the system of the bucket --- then the bucket *doesn't* rotate,
but we are not in an inertial system, so we have the centrifugal and
Coriolis force acting on it. And also the water initially rotates and
gradually it will stop rotating (relative to the bucket) and in the
end it should form the same result as in 1).

Those are more of educational problems, but I think those are
interesting things.

Ondrej

[Pavel Solin]

We should create a web page with such problems,
and with small projects newcomers could work on.
Pavel

--
Pavel Solin
University of Nevada, Reno
http://hpfem.math.unr.edu/people/pavel
Visit Hermes project at http://hpfem.org