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Comsidel Bie 9= 10, a=4, 4=? = mg =2 wite the stifness matix K ite the matrix MK ind the eigenvalues and eigenvectors of MK • Smaller eigenvalue with eigenvector • Larger eigenvalue with eigenvector this spring system oscillates without any external forces present, then the position of each mass satisfes the following general formula: m() = (a, con( e) + by sin( | %3D ) + bg sin( the system begins oscilation with initial position u(0) = and inital velocity w'(0) = then the position of the masses at time t is given by

Comsidel Bie 9= 10, a=4, 4=? = mg =2 wite the stifness matix K ite the matrix MK ind the eigenvalues and eigenvectors of MK • Smaller eigenvalue with eigenvector • Larger eigenvalue with eigenvector this spring system oscillates without any external forces present, then the position of each mass satisfes the following general formula: m() = (a, con( e) + by sin( | %3D ) + bg sin( the system begins oscilation with initial position u(0) = and inital velocity w'(0) = then the position of the masses at time t is given by

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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Consider the following spring system. m. c2 = 10, c3 = , c4 = 2 C1 m2 = 2 Write the stiffness matrix K = Write the matrix MK Find the eigenvalues and eigenvectors of MK: • Smaller eigenvalue = with eigenvector • Larger eigenvalue = with eigenvector If this spring system oscillates without any external forces present, then the position of each mass satisfies the following general formula: u(t) = (a1 cos( t) + bị sin ( t) + (a2 cos( t) + bz sin( t) If the system begins oscillation with initial position u(0) = and initial velocity u'(0) = then the position of the masses at time t is given by u1(t) = uz(t) = Wir
Transcribed Image Text:Consider the following spring system. m. c2 = 10, c3 = , c4 = 2 C1 m2 = 2 Write the stiffness matrix K = Write the matrix MK Find the eigenvalues and eigenvectors of MK: • Smaller eigenvalue = with eigenvector • Larger eigenvalue = with eigenvector If this spring system oscillates without any external forces present, then the position of each mass satisfies the following general formula: u(t) = (a1 cos( t) + bị sin ( t) + (a2 cos( t) + bz sin( t) If the system begins oscillation with initial position u(0) = and initial velocity u'(0) = then the position of the masses at time t is given by u1(t) = uz(t) = Wir
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