A rigid body consists of 12 identical thin rods of length a, forming the edges of a cube. Each of the rods has mass m and a uniform mass density. Calculate the moment of inertia tensor of the body.

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A rigid body consists of 12 identical thin rods of length a, forming the edges of a cube. Each of
the rods has mass m and a uniform mass density. Calculate the moment of inertia tensor of the
body.
[Expect to use about half a page to answer the question.]
Transcribed Image Text:A rigid body consists of 12 identical thin rods of length a, forming the edges of a cube. Each of the rods has mass m and a uniform mass density. Calculate the moment of inertia tensor of the body. [Expect to use about half a page to answer the question.]
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