Vol 1 - L D Landau, E.M. Lifshitz - Mechanics · Problem 32.2

Motion of a Rigid Body

Physics — Landau & Lifshitz · inertia-tensor-homogeneous-bodies

Problem

Determine the principal moments of inertia for the following homogeneous bodies: (a) a thin rod of length ll, (b) a sphere of radius RR, (c) a circular cylinder of radius RR and height hh, (d) a rectangular parallelepiped of sides aa, bb, and cc, (e) a circular cone of height hh and base radius RR, (f) an ellipsoid of semiaxes aa, bb, cc.

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