In: Civil Engineering
1) Go over the derivation of the equilibrium equations for fluids and explain in detail all concepts, steps necessary to derive
A) p= p0 + gamma * z ( equilibrium of a vertical fluid column)
and
B) dp/dx = 0 and dp/dz + gamma = 0 ( equilibrium of an infinitesimal element of fluid )
show that one can derive 1) A from B and 2) B from A .. so A and B are equivalent forms of the equilibrium equations for fluids