Determine the moments of inertia I, and I, of the area shown about vertical and horizontal axes running through the centroid of the area, if a = 2.9 in. 1.2 in. 5.0 in. 1.8 in. 0.9 in. → The value of Ixis | The value of Iy is [ 2.0 in. a Lin 4. in4 B

Determine the moments of inertia I, and I, of the area shown about vertical and horizontal axes running through the centroid of the area, if a = 2.9 in. 1.2 in. 5.0 in. 1.8 in. 0.9 in. → The value of Ixis | The value of Iy is [ 2.0 in. a Lin 4. in4 B

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

need Ix and Iy

plz see attached

Determine the moments of inertia I, and I of the area shown about vertical and horizontal axes running through the centroid of
the area, if a = 2.9 in.
Y
↓A
1.2 in.
5.0 in.
1.8 in.
↓
0.9 in.
2.0 in.
The value of I
is
The value of I is
a
lin4.
lin4.
B

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Step 1: Given data

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Step 2: Divide given area into different shapes and calculation of it's areas, x and y coordinates of CG

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Step 3: Calculation of centroidal coordinates

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Step 4: Calculation of moment of inertia of the area shown about horizontal axes running through centroid

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Step 5: Calculation of moment of inertia of the area shown about vertical and horizontal axes of centroid

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