$8\mathrm{.}6$ A thrust bearing analysis is to be performed on the bearing shown below. The pressure at $x=0$ and at $x=l$ is zero. The analysis should consist of considering the lubrication in the two separate regions $(1)0x{n}_{s}l$ and $(2)l{n}_{s}xl$ and equated at the common boundary $).$ Side leakage is to be neglected. Starting with the appropriate Reynolds equation, determine the pressure throughout the bearing. Also show that the pressure at the common boundary $)=(n_{s}l,$ when $s_i=0,$ is exactly Eq$.(8\mathrm{.}70)$ or $(8\mathrm{.}71)$ for a parallel$-$step bearing.

$($See below$)$

please do it fast