In the system in the figure, a steel column with an l length tubular profile, one end of which is buried in the ground, carries a wind turbine consisting of three blades of mass m and a body of mass M, rotating at n revolutions per minute and whose centers of mass are at a distance R from the axis of rotation. Obtain the expression of the x(t) forced vibrations of the turbine, which initially has a balanced rotor, due to the imbalance that will occur if one of its blades is removed, with the help of a model that takes into account the mass of the beam as well as the elasticity of the beam and assumes that there is a damping in the system so that = 0.005.

M-90 kg, m-15 kg. R-125 cm, n-60 d/dak, l-20 m. d1-38 cm, d2-42 cm