This question is about 2-d surfaces embedded inR3
It's easy to find information on how the metric tensor changes when $$x_{\mu}\rightarrow x_{\mu}+\varepsilon\xi(x)$$
So, what about the variation of the second fundamental form, the Gauss and the mean curvature? how they change?
I found...
1. Homework Statement
Parameterize ##S={ S }_{ 1 }\bigcup { { S }_{ 2 } } ##, where ##S_1## is the surface with equation ##x^2+y^2=4## bounded above by the graph of ##2y+z=6## and below by the ##xy## plane. ##S_2## is the bottom disk
2. Homework Equations
3. The Attempt at a Solution
##{ S...
1. Homework Statement
2. Homework Equations
3. The Attempt at a Solution
I could know the pressure in point B
If I calculate the heigh of pressure I got:
But I don't know where is my free surface in the container 3, is it down??
I don't know how to keep doing it.....