The frequency equation of a 3 Degree of Freedom spring mass system (Figure Q1) is given as: mw – 4km²w* + 3k?mw? = 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, wusing Bisection Method. Use initial value of [4+(0.1*A), 12+(B/2)]. Iterate until 5th iteration. (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.
The frequency equation of a 3 Degree of Freedom spring mass system (Figure Q1) is given as: mw – 4km²w* + 3k?mw? = 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, wusing Bisection Method. Use initial value of [4+(0.1*A), 12+(B/2)]. Iterate until 5th iteration. (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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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Question
NUMERICAL METHODS
USE: A=1
B=10
Transcribed Image Text:X3
X2
m3
m2
m1
Figure Q1
![Q1
The frequency equation of a 3 Degree of Freedom spring mass system (Figure Q1) is given
as:
m³w6 – 4km?w* + 3k?mw? = 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, wusing Bisection Method. Use initial
value of [4+(0.1*A), 12+(B/2)]. Iterate until 5th iteration.
(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%2Fc0d3450a-5103-446d-91de-f9e3140295f5%2F021a714e-3bfa-4f66-8e0e-a0814a2ea46b%2Fzk4qlg_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:
m³w6 – 4km?w* + 3k?mw? = 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, wusing Bisection Method. Use initial
value of [4+(0.1*A), 12+(B/2)]. Iterate until 5th iteration.
(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.
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