A single square linear wedge thrust pad is required to support a load of $0\mathrm{.}4[$MN$]$ and give

minimum film thickness of not less than $50$x$10-6[$m$]$ at a temperature of $50\mathrm{.}5$ oC$.$ The lubricant

has a viscosity of $19\mathrm{.}5[$cS$]$ at $100$ oC$,$ a viscosity index of $95$ and density $($independent of

temperature$)$ of $870[$kg$/$m$3].$ The sliding velocity is $50[$m$/$s$].$ Assuming an iso$-$viscous

lubricating film and assuming an optimal convergence ratio:

$$ Calculate the minimum pad dimensions needed to fulfil the above requirements, and

$$ Estimate the friction force and coefficient of friction generated at the moving surface.