A thin (0.15-mathrm{kg}) rectangular sheet has (40-mathrm{mm}) short sides and (80-mathrm{mm}) long sides. Determine the rotational inertia

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A thin \(0.15-\mathrm{kg}\) rectangular sheet has \(40-\mathrm{mm}\) short sides and \(80-\mathrm{mm}\) long sides. Determine the rotational inertia of the sheet about an axis perpendicular to it and located \((a)\) at the center of a long side, \((b)\) at the center of a short side, and \((c)\) at a corner.

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