Graphics Programs Reference
In-Depth Information
16.
P
4
P
4
P
2
P
2
P
3
P
3
P
2
P
P
3
P
2
3
P
P
1
P
1
P
1
1
P
5
Load = 1
P
5
The force formulation of the symmetrictruss shown results in the jointequilib-
rium equations
⎡
⎣
⎤
⎦
⎡
⎣
⎤
⎦
⎡
⎣
⎤
⎦
c
1 000
0
s
001
002
s
P
1
P
2
P
3
P
4
P
5
0
0
1
0
0
00
=
0
−
cc
1 0
0
s
s
00
where
s
and
P
i
are the unknown forces.Write aprogram that
computes the forces, given the angle
=
sin
θ,
c
=
cos
θ
53
◦
.
θ
.Runthe programwith
θ
=
17.
Ω
20
Ω
5
220 V
i
3
i
1
i
2
0 V
Ω
10
The electrical network shown can be viewedasconsisting of three loops.Apply-
ing Kirhoff'slaw (
voltage drops
=
voltagesources) to each loopyields the
following equationsfor the loop currents
i
1
,
i
2
and
i
3
:
5
i
1
+
15(
i
1
−
=
i
3
)
220V
R
(
i
2
−
i
3
)
+
5
i
2
+
10
i
2
=
0
20
i
3
+
R
(
i
3
−
i
2
)
+
15(
i
3
−
i
1
)
=
0
=
Compute the three loop currents for
R
5, 10 and 20
.
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