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2. (a) Use the parallel axis theorem to calculate the inertia tensor for the same thin rectangular slab with respect to an origin placed at the center of mass. (b) Use the perpendicular axis theorem and the inertia tensor to calculate the moment of inertia about x3 (the perpendicular axis theorem states that the moment of inertia with respect to an axis perpendicular to the plane of a flat 2D surface is equal to the sum of the individual moments of inertia for the axes in the plane).

2. (a) Use the parallel axis theorem to calculate the inertia tensor for the same thin rectangular slab with respect to an origin placed at the center of mass. (b) Use the perpendicular axis theorem and the inertia tensor to calculate the moment of inertia about x3 (the perpendicular axis theorem states that the moment of inertia with respect to an axis perpendicular to the plane of a flat 2D surface is equal to the sum of the individual moments of inertia for the axes in the plane).

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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2. (a) Use the parallel axis theorem to calculate the inertia tensor for the same thin rectangular slab with respect to an origin placed at the center of mass. (b) Use the perpendicular axis theorem and the inertia tensor to calculate the moment of inertia about x3 (the perpendicular axis theorem states that the moment of inertia with respect to an axis perpendicular to the plane of a flat 2D surface is equal to the sum of the individual moments of inertia for the axes in the plane).
Transcribed Image Text:2. (a) Use the parallel axis theorem to calculate the inertia tensor for the same thin rectangular slab with respect to an origin placed at the center of mass. (b) Use the perpendicular axis theorem and the inertia tensor to calculate the moment of inertia about x3 (the perpendicular axis theorem states that the moment of inertia with respect to an axis perpendicular to the plane of a flat 2D surface is equal to the sum of the individual moments of inertia for the axes in the plane).
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