1. The problem statement, all variables and given/known data I need some help with the following problem: System shown has m=5, k1=100, k2=150, and c=2 Find the natural frequencies, damping ratios, and mode shapes. The figure of the system has been attached. 2. Known Equations I know how to find natural frequencies, damping ratios, and mode shapes, my only issue is actually setting up the M, K and C matrices as I have only seen multiple degree of freedom problems with more than one mass, and with all of the springs at 90 degree angles. I am not sure how I am supposed to work this one out. 3. Work attempted I have attempted at setting up this problem twice but I know I am doing it wrong because when I calculate my M^-.5*K*M^-.5 Matrix it does not exist, or it gives me non real numbers as eigenvalues (eg. x=42.6 + or - 17.2603i). Any help setting up the problem would be appreciated.