PROBLEM 4: Part a.) Find the centroid of the following area in the x direction. Part b.) Find the centroid of the following area in the y direction. Part c.) Find the area moment of inertia (Ix) about the x axis. 1 in 4 in 1 in Y ↔ ↔ 1 in 1 in

PROBLEM 4: Part a.) Find the centroid of the following area in the x direction. Part b.) Find the centroid of the following area in the y direction. Part c.) Find the area moment of inertia (Ix) about the x axis. 1 in 4 in 1 in Y ↔ ↔ 1 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

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

Please Show All Work & Steps

PROBLEM
4:
Part a.) Find the centroid of the following area in the x direction.
Part b.) Find the centroid of the following area in the y direction.
Part c.) Find the area moment of inertia (Ix) about the x axis.
1 in
4 in
1 in
y
3 in
↔ ↔
1 in 1 in
X

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Step 1: Given data

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Step 2: a)Centroid of area in x direction:

VIEW

Step 3: b)Centroid of area in y direction:

VIEW

Step 4: c) moment of inertia about x axis

VIEW

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