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 momentsof inertia and also the angle that the axis of maximuminertia makes with the X-axis. Illustrate by a diagram.PBIIn-Pry(100,-40)x-axisIs, +Pry(40, +40)Dmin40 +E100-402= 70Cy-axisFigure 7.5. Constructionof the Mohr's circlePPFigure 7.6. Characteristicsof the Mohr's circleCoordinate of C: (70,0)CE = 70-40=30AE = 40AC = R = √(30)² + (40)² = 50Imin=OD=OC - CDImin = 70-50= 20 inImax=OC+CBImax = 70 + 50 = 120 intanß: =4030B = 53.13⁰2a = 180-53.13 = 126.87⁰a = 63.44° 4 cm6 cm4 cm12 cmActivate Windows

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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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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°

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