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**Problem 10.36:**

A rigid body consists of three equal masses (\( m \)) fastened at the positions \( (a, 0, 0) \), \( (0, a, 2a) \), and \( (0, 2a, a) \).

(a) Find the inertia tensor \( \mathbf{I} \).

(b) Find the principal moments and a set of orthogonal principal axes.
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Transcribed Image Text:**Problem 10.36:** A rigid body consists of three equal masses (\( m \)) fastened at the positions \( (a, 0, 0) \), \( (0, a, 2a) \), and \( (0, 2a, a) \). (a) Find the inertia tensor \( \mathbf{I} \). (b) Find the principal moments and a set of orthogonal principal axes.
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