The motor-pump system, modeled as a rod with mass m = 3 50 kg and mass moment of inertia JO = 100 kgm^2, is supported by a ground represented by two springs with spring constants k1 = 500 N/m and k2= 200 N/m. Calculate the natural vibration frequencies of this two-degree-of-freedom system. L1 = 0.40 m; L2 = 0.60 m. Motor, Pump Base 0(1) x(1) C.G. 4 C.G. m, Jo 12 k x(1)