Problem 2Consider a rigid body, whose moments of inertia matrix, calculated with respect to the center of massand in B-RF coordinates, is:10-2Ig=-24 -1118 -1Find the directions of the principal axes of inertia (i.e., find Rgp) and the principal moments of inertiamatrix 19.

Given:The moment of inertia matrix, is given below;

Problem 2 Consider a rigid body, whose moments of inertia matrix, calculated with respect to the center of mass and in B-RF coordinates, is: 10 -2 -8] Ig=-2 4-1 -8 -1 Find the directions of the principal axes of inertia (i.e., find Rgp) and the principal moments of inertia matrix 19.

Problem 2 Consider a rigid body, whose moments of inertia matrix, calculated with respect to the center of mass and in B-RF coordinates, is: 10 -2 -8] Ig=-2 4-1 -8 -1 Find the directions of the principal axes of inertia (i.e., find Rgp) and the principal moments of inertia matrix 19.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.87RP

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Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

Problem 2
Consider a rigid body, whose moments of inertia matrix, calculated with respect to the center of mass
and in B-RF coordinates, is:
10
-2
Ig
=
-2
4 -1
11
8 -1
Find the directions of the principal axes of inertia (i.e., find Rgp) and the principal moments of inertia
matrix 19.

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