A thin (0.100 mathrm{~kg}) rod that is (250 mathrm{~mm}) long has a small hole drilled through it

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A thin \(0.100 \mathrm{~kg}\) rod that is \(250 \mathrm{~mm}\) long has a small hole drilled through it \(62.5 \mathrm{~mm}\) from one end. A metal wire is strung through the hole and fixed horizontally, and the rod is free to rotate about the wire and to oscillate.

(a) Determine the rod's rotational inertia \(I\) about this axis.

(b) Determine the period of the rod's oscillation.

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