Question

"A square plate of side a feet is dipped in a liquid of weight density ρ lb/ft3. Find the fluid force on the plate if a vertex is at the surface and a diagonal is perpendicular to the surface."
Assuming that we have a function that returns the width of the object at any point x, w(x), and the depth in-water at any x, h(x), shouldn't we be able to find that for every layer of the object
Work(xi) = p * h(xi) // where p is weight density
F(xi) = Work(xi) * w(xi) * dx // where w(xi) * dx represents Area
which should in the end be
F(x) = p * integral(Work(x) * w(x) dx) ?

Answer 1

\(\star\)

Answer 2

hi