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PROBLEM 9.115
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 9.115 (Continued)
PROBLEM 9.116
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 9.117
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.
PROBLEM 9.118
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
centroidal axis CC that is perpendicular to the plate, (b) the axis
AA that is parallel to the x axis and is located at a distance 1.5a
from the plate.
PROBLEM 9.118 (Continued)
PROBLEM 9.119
Determine by direct integration the mass moment of inertia
with respect to the z axis of the right circular cylinder shown,
assuming that it has a uniform density and a mass m.
PROBLEM 9.120
The area shown is revolved about the x axis to form a
homogeneous solid of revolution of mass m. Using direct
integration, express the mass moment of inertia of the solid
with respect to the x axis in terms of m and h.
PROBLEM 9.121
The area shown is revolved about the x axis to form a
homogeneous solid of revolution of mass m. Determine by
direct integration the mass moment of inertia of the solid with
respect to (a) the x axis, (b) the y axis. Express your answers in
terms of m and the dimensions of the solid.
PROBLEM 9.121 (Continued)
