For the given area, the moment of inertia about axis 1 is 200 cm⁴. What is the MoI about axis 3 (the centroidal axis)?### Diagram Explanation- The diagram shows an ellipse with a total area \(A = 10 \, \text{cm}^2\).- There are three horizontal axes labeled 1, 2, and 3: - Axis 1 is below the ellipse. - Axis 2 is positioned at a distance \(d_1\) from axis 1. - Axis 3 is positioned centrally and passes through point \(C\) (the centroid).- Distances: - \(d_1 = 2 \, \text{cm}\) - \(d_2 = 2 \, \text{cm}\)The task is to find the moment of inertia about axis 3 using the given information about axis 1.

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For the given area, the moment of inertia about axis 1 is 200 cm. WWhat is the Mol about axis 3 (the centroidal axis)? A=10 cm? 1

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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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

For the given area, the moment of inertia about axis 1 is 200 cm⁴. What is the MoI about axis 3 (the centroidal axis)?

### Diagram Explanation

- The diagram shows an ellipse with a total area \(A = 10 \, \text{cm}^2\).
- There are three horizontal axes labeled 1, 2, and 3:
- Axis 1 is below the ellipse.
- Axis 2 is positioned at a distance \(d_1\) from axis 1.
- Axis 3 is positioned centrally and passes through point \(C\) (the centroid).

- Distances:
- \(d_1 = 2 \, \text{cm}\)
- \(d_2 = 2 \, \text{cm}\)

The task is to find the moment of inertia about axis 3 using the given information about axis 1.

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