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I need help solving problem 2. Thanks for your help. Calculate the characteristic equation from problem 4.1 for the case m1=9kg  m2=1kg  k1=24N/m  k2=3N/m  k3=3N/m and solve for the system's natural frequencies.

I need help solving problem 2. Thanks for your help. Calculate the characteristic equation from problem 4.1 for the case m1=9kg  m2=1kg  k1=24N/m  k2=3N/m  k3=3N/m and solve for the system's natural frequencies.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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I need help solving problem 2. Thanks for your help.

Calculate the characteristic equation from problem 4.1 for the case

m1=9kg  m2=1kg  k1=24N/m  k2=3N/m  k3=3N/m

and solve for the system's natural frequencies.

MS Those prou. rarked with an asterisk are intended to be solved using computational software. As this Section 4.1 (Problems 4.1 through 4.19) 4.1. Consider the system of Figure P4.1. For c = c2 = c3 = 0, derive the equation of motion and calculate the mass and stiffness matrices. Note that setting k3 = 0 in your solution should result in the stiffness matrix given by equation (4.9). k1 k2 k3 m1 m2 C20 C3 X2 Inna Figure P4.1 X1 4.2. Calculate the characteristic equation from Problem 4.1 for the case %D 9 kg m2 = 1 kg k = 24 N/m k2 = 3 N/m k3 = 3 N/m m1 = 9 %D and solve for the system's natural frequencies. 4.3. Calculate the vectors uj and u, for Problem 4.2. 4.4. For initial conditions x(0) = [1 0]' and x(0) = [0 01 calculate the free response of the system of Problem 4.2. Plot the response x1(t) and x2(t). %3D
Transcribed Image Text:MS Those prou. rarked with an asterisk are intended to be solved using computational software. As this Section 4.1 (Problems 4.1 through 4.19) 4.1. Consider the system of Figure P4.1. For c = c2 = c3 = 0, derive the equation of motion and calculate the mass and stiffness matrices. Note that setting k3 = 0 in your solution should result in the stiffness matrix given by equation (4.9). k1 k2 k3 m1 m2 C20 C3 X2 Inna Figure P4.1 X1 4.2. Calculate the characteristic equation from Problem 4.1 for the case %D 9 kg m2 = 1 kg k = 24 N/m k2 = 3 N/m k3 = 3 N/m m1 = 9 %D and solve for the system's natural frequencies. 4.3. Calculate the vectors uj and u, for Problem 4.2. 4.4. For initial conditions x(0) = [1 0]' and x(0) = [0 01 calculate the free response of the system of Problem 4.2. Plot the response x1(t) and x2(t). %3D
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