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APPENDIX B
PROBLEM B.1
A thin plate of mass m is cut in the shape of an equilateral triangle of side a.
Determine the mass moment of inertia of the plate with respect to (a) the
centroidal axes AA and BB, (b) the centroidal axis CC that is perpendicular
to the plate.
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM B.2
A ring with a mass m is cut from a thin uniform plate. Determine the
mass moment of inertia of the ring with respect to (a) the axis AA, (b) the
centroidal axis CC that is perpendicular to the plane of the ring.
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM B.3
A thin, semielliptical plate has a mass m. Determine the mass moment of
inertia of the plate with respect to (a) the centroidal axis BB, (b) the
centroidal axis CC that is perpendicular to the plate.
PROBLEM B.4
The parabolic spandrel shown was cut from a thin, uniform plate.
Problem 9.3.)
PROBLEM B.4 (Continued)
2
3
5 3 16 16
1
30
ab
and 3
22 ,mass
31
30
m
I
ab
ab
22
710
mb ma or 22
70
DD
I
ma b
PROBLEM B.5
A piece of thin, uniform sheet metal is cut to form the machine
component shown. Denoting the mass of the component by m,
determine its mass moment of inertia with respect to (a) the x axis,
(b) the y axis.
PROBLEM B.5 (Continued)
Finally, ,mass ,mass ,mass
yxz
III
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM B.6
A piece of thin, uniform sheet metal is cut to form the machine
component shown. Denoting the mass of the component by m,
determine its mass moment of inertia with respect to (a) the axis
AA, (b) the axis BB, where the AA and BB axes are parallel to the
x axis and lie in a plane parallel to and at a distance a above the xz
plane.
PROBLEM B.7
A thin plate of mass m has the trapezoidal shape shown. Determine
the mass moment of inertia of the plate with respect to (a) the x
axis, (b) the y axis.
