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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 I. (b) Find the principal moments and a set of orthogonal principal axes.

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 I. (b) Find the principal moments and a set of orthogonal principal axes.

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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.
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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