Question

10.24 ** (a) If Icm denotes the moment of inertia tensor of a rigid body (mass M) about its CM, and I the corresponding tensor about a point P displaced from the C M by Δ (ξ, η, ζ), prove that and 1ImMnt, (10.117) yz and so forth. (These results, which generalize the parallel-axis theorem that you probably learned in introductory physics, mean that once you know the inertia tensor for rotation about the CM, calculating it for any other origin is trivially easy.) (b) Confirm that the results of Example 10.2 (page 381) fulfill the identities (10.1 17 so that the calculations of part (a) of the example were actually unnecessary]

Answer 1