**Exercises:****10–30.** Determine the moment of inertia for the beam’s cross-sectional area about the x axis.**10–31.** Determine the moment of inertia for the beam’s cross-sectional area about the y axis.**Diagram Explanation:**The diagram shows a cross-sectional area of a beam with an L-shaped geometry. The beam consists of two rectangular sections that form an L shape, oriented such that one leg is vertical and the other is horizontal.- The horizontal section is 10 inches long and 1 inch thick.- The vertical section is 8 inches tall and 1 inch thick.- The overall height from the bottom to the top of the structure is 8 inches for the longer vertical section.- There is an additional vertical part aligned with the horizontal base, which is 3 inches in height and 1 inch thick.Axes are labeled:- The x-axis runs horizontally along the base.- The y-axis runs vertically, intersecting the L-shape at a corner where the 3-inch vertical part begins.The task is to calculate the moment of inertia of this cross-sectional area about the x and y axes, respectively, for exercises 10-30 and 10-31.

It is required to determine moment of inertia about x and y axis

10-30. Determine the moment of inertia for the beam's cross-sectional area about the x axis. 10-31. Determine the moment of inertia for the beam's cross-sectional area about the y axis. coubnic blotnas y 1 in. -1 in. 8 in. 3 in. 10 in. 1 in.

10-30. Determine the moment of inertia for the beam's cross-sectional area about the x axis. 10-31. Determine the moment of inertia for the beam's cross-sectional area about the y axis. coubnic blotnas y 1 in. -1 in. 8 in. 3 in. 10 in. 1 in.

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.

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**Exercises:**

**10–30.** Determine the moment of inertia for the beam’s cross-sectional area about the x axis.

**10–31.** Determine the moment of inertia for the beam’s cross-sectional area about the y axis.

**Diagram Explanation:**

The diagram shows a cross-sectional area of a beam with an L-shaped geometry. The beam consists of two rectangular sections that form an L shape, oriented such that one leg is vertical and the other is horizontal.

- The horizontal section is 10 inches long and 1 inch thick.
- The vertical section is 8 inches tall and 1 inch thick.
- The overall height from the bottom to the top of the structure is 8 inches for the longer vertical section.
- There is an additional vertical part aligned with the horizontal base, which is 3 inches in height and 1 inch thick.

Axes are labeled:
- The x-axis runs horizontally along the base.
- The y-axis runs vertically, intersecting the L-shape at a corner where the 3-inch vertical part begins.

The task is to calculate the moment of inertia of this cross-sectional area about the x and y axes, respectively, for exercises 10-30 and 10-31.

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