Applied Mechanics 1
Fall
Department of Civil Engineering
National Taiwan University
HOMEWORK ASSIGNMENT #7
1. Determine the mass
6 and the location of the center of mass x of the rod if its mass per unit
x

length is m = m0 1 +  .
 L
J
molHE)dx
=
=
mox
Mol
+
+
++
2x
mix
#
x)
2
-
2
the center
is
of
at
-EmoL
----------
·
I
·
3. Locate the centroid x and y of the shaded area.
i
=
0
.
4
-
=
So X&x
4. Locate the centroid x and y of the
shaded area.
xIn-xYdx
=
Area
=
Sh-Ex dx
(x-x dx-h(
*
Thi
ha
:
-
8
.
(E)
(hxd
7
5. Locate the centroid x and y of the shaded
area.
Area
S. Ex-Ex &x Ex- tx.
=
:
&L
0
.
556L
-
↳
=
:
=
2. Locate the centroid y of the area.
Tox2
X
mass
=
1-2
=
5
*
-
=
ha-