For the yellow region, calculate the following using THREE positive shapes and TWO negative shapes: 2.5 T ur property so de use wy as f a. Area wee our u b. Centroid c. Volume of revolution about x= -3 rotated 360° d. Rectangular and Polar Moments of Inertia e. Radii of gyration f. MOI about x=4 g. Volume of 0.02-unit thick coating if curve ABCDEF (note that AF is not included) is revolved 360° about x = -1 h. A rectangle with length 5 units and width d adjacent to the left of the quarter circle is to be added such that the x component of the centroid moves to the left by 0.5 3.7 34°=6 Th nt sr property e de no enin ony way as it wie sour oe 1.2 units = x units. Calculate the value of d and the new centroid. 2.4 Parameters: O = 34° x= 1.2 units 2.8 Computation of centroid and moment of inertia of the area
For the yellow region, calculate the following using THREE positive shapes and TWO negative shapes: 2.5 T ur property so de use wy as f a. Area wee our u b. Centroid c. Volume of revolution about x= -3 rotated 360° d. Rectangular and Polar Moments of Inertia e. Radii of gyration f. MOI about x=4 g. Volume of 0.02-unit thick coating if curve ABCDEF (note that AF is not included) is revolved 360° about x = -1 h. A rectangle with length 5 units and width d adjacent to the left of the quarter circle is to be added such that the x component of the centroid moves to the left by 0.5 3.7 34°=6 Th nt sr property e de no enin ony way as it wie sour oe 1.2 units = x units. Calculate the value of d and the new centroid. 2.4 Parameters: O = 34° x= 1.2 units 2.8 Computation of centroid and moment of inertia of the area
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![For the yellow region, calculate the following using THREE
positive shapes and TWO negative shapes:
2.5
T ur property so
de se way as
wee our u
a. Area
b. Centroid
c. Volume of revolution about x= -3 rotated 360°
d. Rectangular and Polar Moments of Inertia
e. Radii of gyration
f. MOI about x=4
g. Volume of 0.02-unit thick coating if curve ABCDEF (note
that AF is not included) is revolved 360° about x = -1
h. A rectangle with length 5 units and width d adjacent to
the left of the quarter circle is to be added such that the
x component of the centroid moves to the left by 0.5
3.7
34°=8
Thi nt sr property se
de no enin ony way as
IB
it wine sour oe
1.2 units = x
units. Calculate the value of d and the new centroid.
2.4
Parameters:
O = 34°
x = 1.2 units
2.8
Computation of centroid and moment of inertia of the area
Flement
Area, A
(Formula)
-1 +2
Aỹ
(Value)
(Value)
(Formula)
(Value)
(Formula)
(2)
(Formula)
(Value)
(Formula)
(2)*
or
12.5664
0.0000
4
4
25.1327
12.5664
3-2
a(1)"
x(1)
-(1)
1
-3.1416
-3.1416
4
4
-3.9270
-3.9270
TOTAL
9.4248
9.4248
-3.1416
21.2058
8.6394
Computation of centroid of the line
Element Length, L (Formula if
applicable)
(Value)
(Formula)
TOTAL
Dimensions are in cm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3234784c-761d-4927-b651-dd8d2a9c02f1%2F5cc6f73d-2eb2-40ac-9be5-5319d690e051%2Fx471j7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For the yellow region, calculate the following using THREE
positive shapes and TWO negative shapes:
2.5
T ur property so
de se way as
wee our u
a. Area
b. Centroid
c. Volume of revolution about x= -3 rotated 360°
d. Rectangular and Polar Moments of Inertia
e. Radii of gyration
f. MOI about x=4
g. Volume of 0.02-unit thick coating if curve ABCDEF (note
that AF is not included) is revolved 360° about x = -1
h. A rectangle with length 5 units and width d adjacent to
the left of the quarter circle is to be added such that the
x component of the centroid moves to the left by 0.5
3.7
34°=8
Thi nt sr property se
de no enin ony way as
IB
it wine sour oe
1.2 units = x
units. Calculate the value of d and the new centroid.
2.4
Parameters:
O = 34°
x = 1.2 units
2.8
Computation of centroid and moment of inertia of the area
Flement
Area, A
(Formula)
-1 +2
Aỹ
(Value)
(Value)
(Formula)
(Value)
(Formula)
(2)
(Formula)
(Value)
(Formula)
(2)*
or
12.5664
0.0000
4
4
25.1327
12.5664
3-2
a(1)"
x(1)
-(1)
1
-3.1416
-3.1416
4
4
-3.9270
-3.9270
TOTAL
9.4248
9.4248
-3.1416
21.2058
8.6394
Computation of centroid of the line
Element Length, L (Formula if
applicable)
(Value)
(Formula)
TOTAL
Dimensions are in cm.
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