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PROBLEM 9.187
Determine the moment of inertia and the radius of gyration of the shaded
area shown with respect to the x axis.
PROBLEM 9.188
Determine the moments of inertia
x
I
and
y
I
of the area shown
with respect to centroidal axes respectively parallel and
perpendicular to side AB.
PROBLEM 9.188 (Continued)
PROBLEM 9.189
Determine the polar moment of inertia of the area shown with
respect to (a) Point O, (b) the centroid of the area.
PROBLEM 9.190
Two L4 4
1
2
-in. angles are welded to a steel plate as shown. Determine
the moments of inertia of the combined section with respect to centroidal
axes respectively parallel and perpendicular to the plate.
PROBLEM 9.190 (Continued)
PROBLEM 9.191
Using the parallel-axis theorem, determine the product of inertia
of the L5 3
1
2
-in. angle cross section shown with respect to the
centroidal x and y axes.
PROBLEM 9.192
For the L5 3
1
2
-in.
angle cross section shown, use Mohr’s circle
to determine (a) the moments of inertia and the product of inertia
with respect to new centroidal axes obtained by rotating the x and y
axes 30 clockwise, (b) the orientation of the principal axes through
the centroid and the corresponding values of the moments of inertia.
PROBLEM 9.192 (Continued)
PROBLEM 9.193
A thin plate of mass m was cut in the shape of a parallelogram as
shown. Determine the mass moment of inertia of the plate with
respect to (a) the x axis, (b) the axis BB, which is perpendicular to
the plate.
