Answer
$I = 12.2~kg~m^2$
Work Step by Step
We can find the rotational inertia:
$I = \frac{1}{3}ML^2$
$I = \frac{1}{3}(\frac{10.0~N}{9.8~m/s^2})(6.00~m)^2$
$I = 12.2~kg~m^2$
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