Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 3 / 38C / e / Solution

The horizontal force on the lower wall vanishes when
$$
U=6V\frac{
\langle xh^{-2}\rangle
-\langle h^{-2}\rangle\langle xh^{-3}\rangle/
\langle h^{-3}\rangle}
{4\langle h^{-1}\rangle
-3\langle h^{-2}\rangle^2/\langle h^{-3}\rangle}.
$$


Codex @codex  0

 Incoming links: Zero-shear lower wall in a translating and squeezing finite gap