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PROBLEM B.39
Determine the mass products of inertia I
xy
, I
yz
, and I
zx
of the
steel fixture shown. (The density of steel is 7850 kg/m
3
.)
PROBLEM B.39 (Continued)
3
123
( ) ( ) ( ) [(0 10.0480) (0 4.4017) (0 1.5836)] 10
yz yz yz yz
II I I
PROBLEM B.40
Determine the mass products of inertia I
xy
, I
yz
, and I
zx
of the steel machine element shown. (The density of
steel is 7850 kg/m
3
.)
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM B.41
Determine the mass products of inertia I
xy
, I
yz
, and I
zx
of the cast
aluminum machine component shown. (The specific weight of
aluminum is 0.100 lb/in
3
)
PROBLEM B.41 (Continued)
and then
2
,lb s /ftm ,ft
x
,fty ,ftz2
,lb ft smx y
2
,lb ft smy z
2
,lb ft smz x
12
12 1.1
12 3
2 3
10.6248 10
6.36685
12
0.9
12 1.1
12 3
0.42279 10
3
0.07305 10
3
0.51674 10
12
12 1.3
12 3
Finally, 123
3
()() ()
[(0 1.33781) (0 0.42279) (0 0.03487)] 10
xy xy xy xy
II I I
32
yz
123
3
()() ()
[(0 1.63510) (0 0.51674) (0 0.3627)] 10
zx zx zx zx
II I I
32
PROBLEM B.42
Determine the mass products of inertia I
xy
, I
yz
, and I
zx
of the
cast aluminum machine component shown. (The specific
weight of aluminum is 0.100 lb/in
3
)
PROBLEM B.42 (Continued)
and then
2
,lb s /ftm ,ft
x
,fty,ftz 2
,lb ft smx y
2
,lb ft smy z
2
,lb ft smz x
12
12
0.8
12
2 3
11.9255 10
1.2
12
0.4
12
2.6
12
6
39.752 10
6
86.129 10
6
258.386 10
12
12
0.8
12
4 3
1.7708 10
7.8
12
1.1
12 0.8
12
6
105.511 10
6
10.822 10
6
76.735 10
zx z x
zx
PROBLEM B.43
A section of sheet steel 2 mm thick is cut and bent into the
machine component shown. Knowing that the density of steel
is 7850 kg/m
3
, determine the mass products of inertia I
xy
, I
yz
,
and I
zx
of the component.
PROBLEM B.43 (Continued)
1
yz y z
or
0
yz
I
PROBLEM B.44
A section of sheet steel 2 mm thick is cut and bent into the machine
component shown. Knowing that the density of steel is 7850 kg/m3,
determine the mass products of inertia Ixy, Iyz, and Izx of the
component.
