The arrangement of a compressor, turbine and generator in a thermal power plant is shown in Figure 3. The rotational inertias of the components and the torsional stiffnesses of the shafts are given J₁ = 8 kg m² J₂ = 6 kg m² J3 = 4 kg m² K₁ = 4 MNm/rad k₂= 2 MNm/rad Compressor J₁-8 kg m Shaft k-4 MNm/rad Turbine J₂-6 kg m² Figure 3 Shaft k-2 MNm/rad Generator J,4 kg m² a) i) By performing three trials of Holzer's method, determine the natural frequency of oscillation of the system that exists between 700 and 710 rad/s. Use Table 1 to produce your response ii) Determine the corresponding mode shape for the situation in i). b) Identify which component of the power plant is subjected to the largest amplitude of vibration at this frequency c) If this frequency is the lowest oscillatory mode of vibration, state the name of the first mode and the corresponding value of the natural frequency