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PROBLEM 9.31
Determine the moment of inertia and the radius of gyration of the
shaded area with respect to the x axis.
PROBLEM 9.32
Determine the moment of inertia and the radius of gyration of
the shaded area with respect to the x axis.
PROBLEM 9.33
Determine the moment of inertia and the radius of gyration of the
shaded area with respect to the y axis.
PROBLEM 9.34
Determine the moment of inertia and the radius of gyration
of the shaded area with respect to the y axis.
PROBLEM 9.35
Determine the moments of inertia of the shaded area shown with respect to the x and
y axes.
3
1
PROBLEM 9.36
Determine the moments of inertia of the shaded area shown with respect to the
x and y axes.
PROBLEM 9.36 (Continued)
PROBLEM 9.37
The centroidal polar moment of inertia C
J of the 24-in2 shaded
area is 600 in4. Determine the polar moments of inertia JB and JD
of the shaded area knowing that JD = 2JB and d = 5 in.
PROBLEM 9.38
Determine the centroidal polar moment of inertia C
J of the 25-
in2 shaded area knowing that the polar moments of inertia of the
area with respect to points A, B, and D are, respectively, JA = 281
in4, JB = 810 in4, and JD = 1578 in4.
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM 9.39
Determine the shaded area and its moment of inertia with respect to the
centroidal axis parallel to AA knowing that d1 = 25 mm and d2 = 10 mm
and that its moments of inertia with respect to AA and BB are 2.2 106
mm4 and 4 106 mm4, respectively.
