The frequency equation of a 3 Degree of Freedom spring mass system (Figure Q1) is given as: m³w6 – 4km²w4 + 3k²mw? 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. (а) Determine the most positive roots of the system, w using Secant Method. Use initial value of [4+(0.1*A), 12+(B/2)]. Iterate until 5th iteration. (b)
The frequency equation of a 3 Degree of Freedom spring mass system (Figure Q1) is given as: m³w6 – 4km²w4 + 3k²mw? 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. (а) Determine the most positive roots of the system, w using Secant Method. Use initial value of [4+(0.1*A), 12+(B/2)]. Iterate until 5th iteration. (b)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
USE A=1
B=8
![Q1
The frequency equation of a 3 Degree of Freedom spring mass system (Figure Q1) is given
as:
m³w° – 4km²wt + 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):
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.
(а)
(b)
Determine the most positive roots of the system, w using Secant Method. Use initial
value of [4+(0.1*A), 12+(B/2)]. Iterate until 5th iteration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9126547c-acd1-40cf-b247-1dea65405f3b%2F352ae841-86eb-42d5-91f3-f847ad84657f%2Ftbx96_processed.png&w=3840&q=75)
Transcribed Image Text:Q1
The frequency equation of a 3 Degree of Freedom spring mass system (Figure Q1) is given
as:
m³w° – 4km²wt + 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):
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.
(а)
(b)
Determine the most positive roots of the system, w using Secant Method. Use initial
value of [4+(0.1*A), 12+(B/2)]. Iterate until 5th iteration.
Transcribed Image Text:X2 k2
X3
X1
m2
m3
Figure Q1
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