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Consider the following unattached spring system. ci = 6, mị = 1, m2 = 2

Consider the following unattached spring system. ci = 6, mị = 1, m2 = 2

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 unattached spring system. ci = 6, mị = 1, m2 = 2 6 -6 Write the stiffness matrix K = -6 6 6 -6 Write the matrix M-K = -3 3 Find the eigenvalues and eigenvectors of M-K: 1 • Smaller eigenvalue = with eigenvector -2 • Larger eigenvalue = with eigenvector If the spring system oscillates beginning with initial displacement u(0) = and initial velocity u' (0) = then compute the displacements of the masses at time t. = (1) 'n uz(t) = Find a nonzero initial velocity vector such that the displacement of the masses will be bounded. • u' (0) =
Transcribed Image Text:Consider the following unattached spring system. ci = 6, mị = 1, m2 = 2 6 -6 Write the stiffness matrix K = -6 6 6 -6 Write the matrix M-K = -3 3 Find the eigenvalues and eigenvectors of M-K: 1 • Smaller eigenvalue = with eigenvector -2 • Larger eigenvalue = with eigenvector If the spring system oscillates beginning with initial displacement u(0) = and initial velocity u' (0) = then compute the displacements of the masses at time t. = (1) 'n uz(t) = Find a nonzero initial velocity vector such that the displacement of the masses will be bounded. • u' (0) =
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