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The Lunar Module has a radius (r) of about 2.15 meters with the landing gear retracted, and its mass (m) as deployed is about 14,700 kilograms. If you assign an even distribution of the mass about the axis of rotation (and unless a Grumman, or perhaps a NASA engineer happens by this question, who will argue?), you can integrate across r2 dm to discover a "fair" approximation of the moment of inertia (I).

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Q: What is the moment of inertia of the lunar landing module?
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