Consider the following spring system. C₁₂ A m₂ 77 Write the stiffness matrix K Write the matrix M-¹K = C₁ = 6, m₂ = 6, e C₂ = 12, m₂ = 3 Find the eigenvalues and eigenvectors of M ¹K: • Smaller eigenvalue = with eigenvector • Larger eigenvalue = with eigenvector C₂ = 18, q=6 If this spring system oscillates without any external forces present, then the position of each mass satisfies the following general formula: u(t) = (a, cos( +(az cos( t) + b₁ sin(t)) t) + b₂ sin(t)) 8 If the system begins oscillation with initial position (0) = [] and initial velocity (0) = [] then the position of the masses at time t is given by u₁(t): u₂(t):

Consider the following spring system. C₁₂ A m₂ 77 Write the stiffness matrix K Write the matrix M-¹K = C₁ = 6, m₂ = 6, e C₂ = 12, m₂ = 3 Find the eigenvalues and eigenvectors of M ¹K: • Smaller eigenvalue = with eigenvector • Larger eigenvalue = with eigenvector C₂ = 18, q=6 If this spring system oscillates without any external forces present, then the position of each mass satisfies the following general formula: u(t) = (a, cos( +(az cos( t) + b₁ sin(t)) t) + b₂ sin(t)) 8 If the system begins oscillation with initial position (0) = [] and initial velocity (0) = [] then the position of the masses at time t is given by u₁(t): u₂(t):

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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