Locate the centroid y of the beam's cross-sectional area. Step 3: Complete the table Segment T 50 mm 1 2 3 400 mm- Step 1: Break into components Inspect the cross section for obvious and convenient places to divide it into shapes that appear in the tables. For this cross section, three rectangles make the most sense. centroid, y. Answer: 162.5 mm M 50 mm Step 2: Find the centroid of each component, relative to the global coordinate system The tables give the centroids relative to the shapes themselves. Here, we need to find the location y for each component and determine its location relative to the overall x-y coordinate system. Answer: 100 mm, 100 mm, 225 mm A (mm²) 50 mm 200 mm y (mm) YA (mm³) Step 4: Calculate the area-weighted average Sum the area (A) column and the yA column. Use y = A to determine the location of the
Locate the centroid y of the beam's cross-sectional area. Step 3: Complete the table Segment T 50 mm 1 2 3 400 mm- Step 1: Break into components Inspect the cross section for obvious and convenient places to divide it into shapes that appear in the tables. For this cross section, three rectangles make the most sense. centroid, y. Answer: 162.5 mm M 50 mm Step 2: Find the centroid of each component, relative to the global coordinate system The tables give the centroids relative to the shapes themselves. Here, we need to find the location y for each component and determine its location relative to the overall x-y coordinate system. Answer: 100 mm, 100 mm, 225 mm A (mm²) 50 mm 200 mm y (mm) YA (mm³) Step 4: Calculate the area-weighted average Sum the area (A) column and the yA column. Use y = A to determine the location of the
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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Question
Complete all steps please

Transcribed Image Text:Locate the centroid y of the beam's cross-sectional area.
Step 3: Complete the table
Segment
1
y
23
50 mm
centroid, y.
Answer: 162.5 mm
400 mm
Step 1: Break into components
Inspect the cross section for obvious and convenient places to divide it into shapes that appear
in the tables. For this cross section, three rectangles make the most sense.
C
Step 2: Find the centroid of each component, relative to the global coordinate system
The tables give the centroids relative to the shapes themselves. Here, we need to find the
location y for each component and determine its location relative to the overall x-y coordinate
system.
Answer: 100 mm, 100 mm, 225 mm
A (mm²)
50 mm
50 mm
200 mm
y (mm)
Step 4: Calculate the area-weighted average
Sum the area (A) column and the yA column. Use y
=
YA (mm³)
YA
to determine the location of the
ΣΑ
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