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create code...preferably matlab for the image question

Objective: Given a scientific problem, determine the eigenvalues in the system, the physical meaning of the eigenvalues, and solve for them using Matlab commands.
The structure of acetylene (C₂H₂) may be idealized by a system of four masses connected by springs. By applying the equations of motion, the amplitudes of vibration of each atom may be developed.
KCH_0
mH
KCH
mc
0
0
KCH
mH
(kCH + Kcc)
mc
d=2nc
(1)
kcc
mc
0
·00²
0
kcc
mc
(KCH + KCC)
mc
KCH
mH
- 00²
0
0
KCH
mc
KCH_02
mH
A₁
A₂
A3
A4
Where is the frequency, kcH = 5.92 - 10²kg/s², and kcc = 15.8. 10²kg/s² corresponding to the spring constants for the two bonds. m = 1amu and mc = 12amu, where the conversion is 1amu = 1.6605-10-27 kg.
Determine the eigenavlues named "eigenvalues" and the frequencies named "omega" as vectors using built-in Matlab commands. The eigenvalues should be in order from highest to lowest. Calculate the corresponding
wavelengths named "lambda" using the speed of light, c = 3.108 m/s.
Transcribed Image Text:Objective: Given a scientific problem, determine the eigenvalues in the system, the physical meaning of the eigenvalues, and solve for them using Matlab commands. The structure of acetylene (C₂H₂) may be idealized by a system of four masses connected by springs. By applying the equations of motion, the amplitudes of vibration of each atom may be developed. KCH_0 mH KCH mc 0 0 KCH mH (kCH + Kcc) mc d=2nc (1) kcc mc 0 ·00² 0 kcc mc (KCH + KCC) mc KCH mH - 00² 0 0 KCH mc KCH_02 mH A₁ A₂ A3 A4 Where is the frequency, kcH = 5.92 - 10²kg/s², and kcc = 15.8. 10²kg/s² corresponding to the spring constants for the two bonds. m = 1amu and mc = 12amu, where the conversion is 1amu = 1.6605-10-27 kg. Determine the eigenavlues named "eigenvalues" and the frequencies named "omega" as vectors using built-in Matlab commands. The eigenvalues should be in order from highest to lowest. Calculate the corresponding wavelengths named "lambda" using the speed of light, c = 3.108 m/s.
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