Q1 The frequency equation of a 3 Degree of Freedom spring mass system (Figure Q1) is given as: m³w6 – 4km²wª + 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): (a) Determine the most positive roots of the system, w using Bisection Method. Use initial value of [5.7, 15.5]. Iterate until 5th iteration.

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.12P
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Q1
The frequency equation of a 3 Degree of Freedom spring mass system (Figure Q1) is given
as:
m³w6 – 4km²w4 + 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):
(a) Determine the most positive roots of the system, w using Bisection Method. Use initial
value of [5.7, 15.5]. Iterate until 5th iteration.
(b) Determine the most positive roots of the system, w using Secant Method. Use initial
value of [5.7, 15.5]. Iterate until 5th iteration
c) The exact value of the most positive roots, w is given as 10 rad/s. Based from your answer in Q1(a)
and Q1(b), identify its percentage relative error and justify which method is more accurate.
Transcribed Image Text:Q1 The frequency equation of a 3 Degree of Freedom spring mass system (Figure Q1) is given as: m³w6 – 4km²w4 + 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): (a) Determine the most positive roots of the system, w using Bisection Method. Use initial value of [5.7, 15.5]. Iterate until 5th iteration. (b) Determine the most positive roots of the system, w using Secant Method. Use initial value of [5.7, 15.5]. Iterate until 5th iteration c) The exact value of the most positive roots, w is given as 10 rad/s. Based from your answer in Q1(a) and Q1(b), identify its percentage relative error and justify which method is more accurate.
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