Question $5[10$ marks$]$

A post is $9$ m long, has a hollow circular cross section with outer radius $123$ mm and inner radius $117$ mm $,$ and supports a load $\backslash (\backslash$boldsymbol$\{$P$\}\backslash )$ acting at the end of an arm that is $1\mathrm{.}5$ m long. If the maximum tensile principal stress and maximum in$-$plane shear stress at point $\backslash ($ H $\backslash )$ of cross$-$section $\backslash ($ A $\backslash )$ are limited to $90$ MPa and $38$ MPa $,$ respectively, determine the largest permissible magnitude of the load $\backslash (\backslash$boldsymbol$\{$P$\}\backslash ).$