The frequency equation of a 3 Degree of Freedom spring mass system (Figure Q1) is given as: m3w6 – 4km2w* + 3k?mw² = 0 where the value of the mass, m = 0.1 kg and spring stiffness coefficient, k = 10 N/m. By performing your calculation (final answer in 3 decimal points): Determine the most positive roots of the system, wusing Bisection Method. Use initial value of [4+(0.1*A), 12+(B/2)]. Iterate until 5th iteration. (a)

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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A= 1  B=6

Q1
The frequency equation of a 3 Degree of Freedom spring mass system (Figure Q1) is given
as:
m3w6 –
4km?w* + 3k²mw² = 0
where the value of the mass, m = 0.1 kg and spring stiffness coefficient, k = 10 N/m.
By performing your calculation (final answer in 3 decimal points):
(a)
Determine the most positive roots of the system, w using Bisection Method. Use initial
value of [4+(0.1*A), 12+(B/2)]. Iterate until 5th iteration.
Transcribed Image Text:Q1 The frequency equation of a 3 Degree of Freedom spring mass system (Figure Q1) is given as: m3w6 – 4km?w* + 3k²mw² = 0 where the value of the mass, m = 0.1 kg and spring stiffness coefficient, k = 10 N/m. By performing your calculation (final answer in 3 decimal points): (a) Determine the most positive roots of the system, w using Bisection Method. Use initial value of [4+(0.1*A), 12+(B/2)]. Iterate until 5th iteration.
X3
X2
k2
ki
m3
m2
m1
Figure Q1
Transcribed Image Text:X3 X2 k2 ki m3 m2 m1 Figure Q1
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