The figure below shows an equivalent single degree of freedom (SDOF) model of a wind turbine. The rotor and nacelle system mass is M = 2500 kg and the mass per unit length of the tower is m = 500 kg/m. Assume the tower as an uniform beam, with length = 60 m, moment of inertia I = 0.8 m4, Young's modulus E = 200 GPa. Consider the wind turbine is subjected to a wind gust, modelled as f(t) = Fo (1-1/2) N 0 1 t [Fo 0 Ntti where Fo = 4 kN and t = 0.18 s. Determine the response of the system at t = 0.36 s. Assume damping ratio of the system is = 0.1. Nacelle Tower Rotor Ke ww x(t) Me F(t) -3.73 mm -1.24 mm -0.62 mm -2.49 mm -5.59 mm