For the system shown Draw the freebody diagram for the syste
     For the system shown,  Draw the free-body diagram for the system shown  Use the FBD to write the differential equations of motion  Write the equations in matrix form  If m = 5 kg, L = 2 m, k = 800 N/m, and I_G = mL^2/12 calculate the natural frequencies and the mode shapes for the system. You do not have to sketch the mode shapes   
  
  Solution
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