Graphics Programs Reference
In-Depth Information
17.
φ
C
B
A
θ
The bar ABC is attached to the vertical rodwith a horizontal pin. The assembly
isfree to rotate about the axisoftherod. In the absence of friction, the equations
of motion of the systemare
2 sin
¨
˙
¨
2 ˙
˙
θ =
φ
θ
cos
θ
φ =−
θ
φ
cot
θ
If the systemis set into motionwith the initialconditions
θ
(0)
= π/
θ
(0)
=
0 and ˙
0,
Runge-Kuttamethod from t
φ
(0)
=
φ
(0)
=
5 s and plot ˙
=
0to1
.
φ
vs. t .
18.
Solve the circuit problem in Example 7.11 if R
=
0 and
0 when t
<
0
E ( t )
=
9 sin
π
t when t
0
=
19. SolveProb. 21 in ProblemSet 1if E
240 V (constant).
20.
R 1
L
i 2
i 1
E ( t )
R 2
C
i 1
i 2
L
Kirchoff'sequationsfor the circuit in the figure are
L di 1
dt +
R 1 i 1 +
R 2 ( i 1
i 2 )
=
E ( t )
L di 2
q 2
C =
dt +
R 2 ( i 2
+
i 1 )
0
where
dq 2
dt
=
i 2
Using the data R 1 =
4
, R 2 =
10
, L
=
0
.
032 H, C
=
0
.
53 F and
20Vif0
<
t
<
0
.
005 s
E ( t )
=
0 otherwise
plot the transient loop currents i 1 and i 2 from t
=
0to0
.
05 s.
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