For items 4 and 5, the composite area shown is formed by cutting a square out of a semi-circle. y r=4cm 2cm 2cm X 4. Which of the following best approximates the first moment of the area about the x-axis? -4.00cm3 + X

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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First Moment of Area about an Axis

2. Consider a homogenous plate made up of a semi-ellipse and a rectangle whose base is of
length 2b, which of the following statement(s) is/are TRUE?
1. The y-axis is a centroidal axis
• II. The first moment of the area about x is NONZERO.
• III. The centroid of the plate is below the x-axis.
I only
b
y
BA
CD
+ X
r=4cm
-4.00cm3
b
For items 4 and 5, the composite area shown is formed by cutting a square out of a semi-circle.
y
X
2cm
2cm
X
4. Which of the following best approximates the first moment of the area about the x-axis?
Transcribed Image Text:2. Consider a homogenous plate made up of a semi-ellipse and a rectangle whose base is of length 2b, which of the following statement(s) is/are TRUE? 1. The y-axis is a centroidal axis • II. The first moment of the area about x is NONZERO. • III. The centroid of the plate is below the x-axis. I only b y BA CD + X r=4cm -4.00cm3 b For items 4 and 5, the composite area shown is formed by cutting a square out of a semi-circle. y X 2cm 2cm X 4. Which of the following best approximates the first moment of the area about the x-axis?
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