Question: Given the two degree of freedom system in the figure below. Complete the following: (a) Write the equations of motion in matrix form. (b)

Given the two degree of freedom system in the figure below. Complete

Given the two degree of freedom system in the figure below. Complete the following: (a) Write the equations of motion in matrix form. (b) Write the system characteristic equation using Laplace notation. Your solution should be a polynomial that is quadratic in s? with appropriate numerical coefficients. (c) Calculate the natural frequencies (in Hz). (d) Determine the two mode shapes (normalize to coordinate x1). k = 1x10 N/m m =3 kg k2= 6x105 X2 m2=2 to

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