The inertia matrix about O, 1(0, x, y, z), of a cylinder of height H, radius Rand mass M is:RM2MR²/2 + H²/6 00R²00 R²/2+ H2/6,0*(****)R²0 R²/2+2H²/3/2R²/2+2H²/30000000R²/2 + H²/60* (****)R²/2 + H²/6 0000R²H

To find: The inertia matrix of the solid cylinder about the mentioned co-ordinates. Formula used:…

Answered: The inertia matrix about O, 1(0, x, y,…

The inertia matrix about O, 1(0, x, y, z), of a cylinder of height H, radius Rand mass M is: R R²/2 + H²/6 0 0 R² 0 0 0 0 R2/2+H2/6/ H

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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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

The inertia matrix about O, 1(0, x, y, z), of a cylinder of height H, radius Rand mass M is:
R
M
2
M
R²/2 + H²/6 0
0
R²
0
0 R²/2+ H2/6,
0
*(****)
R²
0 R²/2+2H²/3/
2
R²/2+2H²/3
0
0
0
0
0
0
0
R²/2 + H²/6
0
* (****)
R²/2 + H²/6 0
0
0
0
R²
H

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