Part A

If the large ring, small ring and each of the spokes weigh $\backslash (171\backslash$mathrm$\{$lb$\},24\backslash$mathrm$\{$lb$\}\backslash ),$ and $21$ lb $,$ respectively, determine the mass moment of inertia of the wheel about an axis perpendicular to the page and passing through point $\backslash ($ A $\backslash ).$

$($Figure $1)$

Express your answer with the appropriate units.

$\backslash [$

I$\_\{$A$\}=$

$\backslash ]$