Given the two degree of freedom system in the figure below. Complete the following: (a) Write...
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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 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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