At = 0.2 1x=1 = 0.25 4 using the formulas for B, C, D and E 2 1 [st 0.2 = Ax 0.25 C = 2-2 D= [+] F 12 = 0.64 2 =2-2×0.64 =2-120 -0.72 ΔΚ 2 = 0.64 E = 1 0.72 0.64 0 0.64 0.72 6.64 ○ [A]= 0 0.64 0.72 0.64 0 0 0 0.64 0.72 0.64 0.64 0.72 Part C: Assemble the Equations into a matrix form. Matrix Form {y} [A]{y}*+ {y} + {BC} у {y} = Y₂+ 43+ Удо 2 Yst DOO [A] = B C D O 0 D B C 0 10 080 D 0 B C D B C
At = 0.2 1x=1 = 0.25 4 using the formulas for B, C, D and E 2 1 [st 0.2 = Ax 0.25 C = 2-2 D= [+] F 12 = 0.64 2 =2-2×0.64 =2-120 -0.72 ΔΚ 2 = 0.64 E = 1 0.72 0.64 0 0.64 0.72 6.64 ○ [A]= 0 0.64 0.72 0.64 0 0 0 0.64 0.72 0.64 0.64 0.72 Part C: Assemble the Equations into a matrix form. Matrix Form {y} [A]{y}*+ {y} + {BC} у {y} = Y₂+ 43+ Удо 2 Yst DOO [A] = B C D O 0 D B C 0 10 080 D 0 B C D B C
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Question
d) Initially, the string is at rest at the profile {y2 y3 y4}0 = {0.4 0.7 0.3}. Use the answer in
part c) to find {y2 y3 y4}1. Show all the necessary calculations.
e) Thus, further calculations to show one cycle (periodical process) are obtained by tabulating
a table.
f) Based on the problem statement given in part e), use MS Excel to plot a
graph of displacement y against x.
![At = 0.2
1x=1 = 0.25
4
using the formulas for B, C, D and E
2
1
[st
0.2
=
Ax
0.25
C = 2-2
D= [+]
F
12
= 0.64
2
=2-2×0.64
=2-120 -0.72
ΔΚ
2
= 0.64
E = 1
0.72
0.64
0
0.64
0.72
6.64
○
[A]=
0
0.64
0.72
0.64
0
0
0
0.64
0.72
0.64
0.64
0.72](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4000e28a-5cf8-47ab-bb9c-d9b564c038d2%2F9f0d6dfe-eed3-42cf-be64-b21901160f08%2Fv5yr99o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:At = 0.2
1x=1 = 0.25
4
using the formulas for B, C, D and E
2
1
[st
0.2
=
Ax
0.25
C = 2-2
D= [+]
F
12
= 0.64
2
=2-2×0.64
=2-120 -0.72
ΔΚ
2
= 0.64
E = 1
0.72
0.64
0
0.64
0.72
6.64
○
[A]=
0
0.64
0.72
0.64
0
0
0
0.64
0.72
0.64
0.64
0.72
![Part C: Assemble the Equations
into
a matrix form.
Matrix Form {y} [A]{y}*+ {y} + {BC}
у
{y} =
Y₂+
43+
Удо
2
Yst
DOO
[A] =
B C
D O
0
D
B C
0
10
080
D
0
B
C
D
B
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4000e28a-5cf8-47ab-bb9c-d9b564c038d2%2F9f0d6dfe-eed3-42cf-be64-b21901160f08%2Fe76wf6e_processed.png&w=3840&q=75)
Transcribed Image Text:Part C: Assemble the Equations
into
a matrix form.
Matrix Form {y} [A]{y}*+ {y} + {BC}
у
{y} =
Y₂+
43+
Удо
2
Yst
DOO
[A] =
B C
D O
0
D
B C
0
10
080
D
0
B
C
D
B
C
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