Suppose you have a bucket filled with superfluid Helium-4 and you spin it with a large angular velocity Ω, the bucket obviously has angular momentum.
Spinning fast enough, the fluid develops irrotational vortex lines which carry quanta of angular momentum, while leaving the curl of the ∇xv 0...
Okay thanks for the hint, however I've been thinking about this all day, and have consulted with the other people doing the question. We cannot come to a reasonable conclusion at all so any mathematical help would at this point be much appreciated.
Homework Statement
Two hollow conducting spheres are connected electrically, and are charged to a potential V. The connection is then removed and the outside sphere is grounded, find the charge and potential of the inner sphere after the grounding.
2. The attempt at a solution
I'm not...