Consider a water tank as shown in the figure. It has one wall at
x=L and is very wide in the
z direction. When filled with a liquid of surface tension
S and density
ρ, the liquid surface makes an angle
θ0 (
θ0≪1) with the
x -axis at
x=L. If
y(x) is the height of the surface, then the equation for
y(x) is:(Take
θ(x)≈sinθ(x)≈tanθ(x)=dxdy and
g as acceleration due to gravity)
