Graphics Programs Reference
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10.
x
0.2 m
0.4 m
C
d
0.4 m
Determine x that minimizes the distance d between the base of the area shown
and its centroid C .
11.
r
H
C
x
0.43 H
The cylindrical vessel of mass M has its center of gravityat C . The waterin
the vessel has adepth x .Determine x so that the center of gravity of the
vessel-water combinationis aslowas possible. Use M
=
=
.
115 kg, H
0
8 m and
r
=
0
.
25 m.
12.
a
b
b
a
The sheet of cardboard is foldedalong the dashed lines to form a boxwith
an open top. If the volume of the boxistobe 1.0 m 3 , determine the dimen-
sions a and b that woulduse the least amountofcardboard. Verify the result
analytically.
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