Compute the moment of inertia about the x and y axes, product of inertia, maximum and minimum moments of inertia and the angle that the axis of maximum inertia makes with the x-axis. Draw the Mohr’s Circle. (KINDLY FOLLOW THE FORMAT FOR SOLUTION IN THA SAMPLE PROVIDED)

Refrigeration and Air Conditioning Technology (MindTap Course List)
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ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
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Compute the moment of inertia about the x and y axes, product of inertia, maximum and minimum moments of inertia and the angle that the axis of maximum inertia makes with the x-axis. Draw the Mohr’s Circle. (KINDLY FOLLOW THE FORMAT FOR SOLUTION IN THA SAMPLE PROVIDED) 

10. A certain area has the following properties:
Ix = 40 in*: ly = 100 in: and Py = 40 in*
Determine the maximum and minimum moments
of inertia and also the angle that the axis of maximum
inertia makes with the X-axis. Illustrate by a diagram.
P
B
I
In-Pry
(100,-40)
x-axis
Is, +Pry
(40, +40)
D
min
40 +
E
100-40
2
= 70
C
y-axis
Figure 7.5. Construction
of the Mohr's circle
P
P
Figure 7.6. Characteristics
of the Mohr's circle
Coordinate of C: (70,0)
CE = 70-40=30
AE = 40
AC = R = √(30)² + (40)² = 50
Imin=OD=OC - CD
Imin = 70-50= 20 in
Imax=OC+CB
Imax = 70 + 50 = 120 in
tanß: =
40
30
B = 53.13⁰
2a = 180-53.13 = 126.87⁰
a = 63.44°
Transcribed Image Text:10. A certain area has the following properties: Ix = 40 in*: ly = 100 in: and Py = 40 in* Determine the maximum and minimum moments of inertia and also the angle that the axis of maximum inertia makes with the X-axis. Illustrate by a diagram. P B I In-Pry (100,-40) x-axis Is, +Pry (40, +40) D min 40 + E 100-40 2 = 70 C y-axis Figure 7.5. Construction of the Mohr's circle P P Figure 7.6. Characteristics of the Mohr's circle Coordinate of C: (70,0) CE = 70-40=30 AE = 40 AC = R = √(30)² + (40)² = 50 Imin=OD=OC - CD Imin = 70-50= 20 in Imax=OC+CB Imax = 70 + 50 = 120 in tanß: = 40 30 B = 53.13⁰ 2a = 180-53.13 = 126.87⁰ a = 63.44°
4 cm
6 cm
4 cm
12 cm
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Transcribed Image Text:4 cm 6 cm 4 cm 12 cm Activate Windows
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