#2015_14 From an old Physics Olympiad!

Consider a long solid, rigid hexagonal prism like a common type of pencil. The mass of the prism is MM and is uniformly distributed. The length of each side of cross-sectional hexagon is aa. The moment of inertia II of the hexagonal prism about its central axis is I=512Ma2I=\frac { 5 }{ 12 } M{ a }^{ 2 } Find the moment of inertia II of the hexagonal prism about an edge of the prism.

Details and Assumptions:

  • M=1 kgM=1 \text{ kg}, a=1ma=1 m
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