Summary: Find tne Cen Figure 5 shows a trapez (a) Could one find the ce Yes or no? (no justifi (b) Could one fine the a by integration? Yes or no? (no justif (c) Would this shape ma provide good bendir Briefly say why or w (d) Treat the shaded ar negative triangulan Method to find X, tl direction. You do No

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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10:07 00 23 2
X TE 99%
y
Figure 5
Summary: Find tne Centroid (and more)
Figure 5 shows a trapezoid with dimensions in millimeters:
(a) Could one find the centroid of this object by integration?
Yes or no? (no justification required)
(b) Could one fine the area moment of inertia about the x-axis
by integration?
Yes or no? (no justification required)
(c) Would this shape make a good "I-beam"? I.e. would it
provide good bending resistance about centroidal axis?
Briefly say why or why not?
(d) Treat the shaded area as a positive rectangular area and
negative triangular area and use the Composite Body
Method to find X, the location of the centroid in the x-
direction. You do NOT need to find Y
50
150
100-
200
Transcribed Image Text:10:07 00 23 2 X TE 99% y Figure 5 Summary: Find tne Centroid (and more) Figure 5 shows a trapezoid with dimensions in millimeters: (a) Could one find the centroid of this object by integration? Yes or no? (no justification required) (b) Could one fine the area moment of inertia about the x-axis by integration? Yes or no? (no justification required) (c) Would this shape make a good "I-beam"? I.e. would it provide good bending resistance about centroidal axis? Briefly say why or why not? (d) Treat the shaded area as a positive rectangular area and negative triangular area and use the Composite Body Method to find X, the location of the centroid in the x- direction. You do NOT need to find Y 50 150 100- 200
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