## Question

###### LLLLLLLLLgc3 G = 9, C = 12 M2Write the stiffness matrix KWrite the matrix M-'KFind the eigenvalues and eigenveciors of MSmaller eigenvaluewith eigenvectorLarger eigenvaluewith ergenvectorIf this spring system oscillates without any extemal forces present, then the position of each mass satisfies ihe following general formula;u(t) (at cOsC sqrt3t) +61 sin ( sqm342 COS} 5q1t146z siu( sqn14If the system begins oscillation with initial position u(0)and initial velocity u' (0)then the posit

LLLLLLLLL gc3 G = 9, C = 12 M2 Write the stiffness matrix K Write the matrix M-'K Find the eigenvalues and eigenveciors of M Smaller eigenvalue with eigenvector Larger eigenvalue with ergenvector If this spring system oscillates without any extemal forces present, then the position of each mass satisfies ihe following general formula; u(t) (at cOsC sqrt3 t) +61 sin ( sqm3 42 COS} 5q1t14 6z siu( sqn14 If the system begins oscillation with initial position u(0) and initial velocity u' (0) then the position of the masses at time IS given Dy Ui (t) "2(t) ~/11cos(sqmt3t) 1/11cos(sqmiat)

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