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PRACTICE / Perpendicular-axis theorem

Add moments about intersecting axes

A thin uniform circular disk has moment of inertia 0.12 kg·m² about each of two perpendicular diameters through its center.

Find its moment of inertia about the normal axis through the center.

Organize the givens & assumptions
  • Iₓ = 0.12 kg·m²
  • Iᵧ = 0.12 kg·m²

Planar lamina of negligible thickness; all three axes intersect at the same center.

  1. A0.24 kg m20.24\ \mathrm{kg\,m^2}
  2. B0.12 kg m20.12\ \mathrm{kg\,m^2}
  3. C0.06 kg m20.06\ \mathrm{kg\,m^2}
  4. D0.48 kg m20.48\ \mathrm{kg\,m^2}

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