Moment of Inertia of a Thin Hoop

Easymass moment of inertiahoop
A thin hoop has mass 5 kg and radius 0.40 m. Its mass moment of inertia about its central axis is:
  1. A0.80 kg·m²
  2. B0.40 kg·m²
  3. C1.60 kg·m²
  4. D2.00 kg·m²
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Answer: A. 0.80 kg·m²

All the mass of a thin hoop sits at radius r, so I = mr² = 5(0.40²) = 0.80 kg·m². ½mr² would be a solid disk.
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