I need help with stokes theorum.?

Question

I need a proof and explanation of stokes theorum. I just dont get it. Any help would be great.

Answer 1

i am not sure if ur talking about the one involving terminal velocity. howevr the proof for it is as follows:
when a spherical object of mass say,'m', density 'd' and radius say 'r' is falling thro a viscous medium, of density $ and of coeff of viscosity @(i don't have better characters), then it's weight acts vertically downwards, and the bouyant force acts vertically upwards
also the resistance of the medium( the viscous force) acts vertically downwards
so the forces acting upwards are viscous force=6@*r*v(t)*pi, where v(t) is the terminal velocity and also the bouyant force=4/3*pi*r^3*$*g
here g is acc due to gravity
now the force acting downward is the weight of the ball which is 4/3*pi*r^3*d*g
now when the body has attained terminal velocity, the upward forces are equal to the downward forces
4/3*pi*r^3*d*g=6pi*@*r*v(t) + 4/3*pi*r^3*$*g
from this equation u can arrive at the terminal velocity as
v(t) = 2/9*r^2*g*(d-$)/@
hope this will help u

Answer 2

http://tutorial.math.lamar.edu/AllBrowsers/2415/StokesTheorem.asp