PROBLEM 9.40
Knowing that the shaded area is equal to 6000 mm2 and that its moment of
inertia with respect to AA is 18 106 mm4, determine its moment of inertia
with respect to BB for d1 = 50 mm and d2 = 10 mm.
PROBLEM 9.41
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 9.42
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.
1764 45,864
Then
23
: (1764 mm ) 45,864 mmYA yA Y
or
26.0 mmY
Now
12
() ()
xx x
II I
where
32 2
1
434
32 2
2
434
1
( ) (36 mm)(28 mm) (1008 mm )[(26 14)mm]
12
(65,856 145,152)mm 211.008 10 mm
1
( ) (36 mm)(42 mm) (756 mm )[(42 26)mm]
36
(74,088 193,536)mm 267.624 10 mm
x
x
I
I




Then
34
(211.008 267.624) 10 mm
x
I
or
34
479 10 mm
x
I

PROBLEM 9.42 (Continued)
PROBLEM 9.43
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 9.43 (Continued)
PROBLEM 9.44
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 9.44 (Continued)
PROBLEM 9.45
Determine the polar moment of inertia of the area shown with respect
to (a) Point O, (b) the centroid of the area.
PROBLEM 9.45 (Continued)
4
2
( ) (91.125 162.0) in
O
J