A uniform, $8\mathrm{.}80-$kg$,$ spherical shell $52\mathrm{.}0$ cm in diameter has four small masses of mass $2\mathrm{.}50$ kg attached to its outer surface and equally spaced around it$.$ This combination is spinning about an axis running through the center of the sphere and two of the small masses $($Figure $1).$

Figure

$1$ of $1$

Part A

What friction torque is needed to reduce its angular speed from $79\mathrm{.}0$ rpm to $55\mathrm{.}0$ rpm in a time interval of $\backslash (33\mathrm{.}0\backslash$mathrm$\{$~s$\}?\backslash )$

Express your answer in newton$-$meters.

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