Question$2)$

In the system shown in the figure, a steel column with a length of $1,$

buried in the ground at one end, carries a wind turbine consisting of three blades of

mass $n$ and a body of mass $M,$ which rotates at $n$ revolutions per minute and

whose mass centers are at a distance $R$ from the rotation axis.

Obtain the expression of the forced vibrations $x(t)$ 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 approximately takes into account the mass of the beam as

well as its elasticity and assumes a damping of $50\mathrm{.}005$ in the system.

$M=90kg,m=15kg,R=125cm,g=60\frac{d}{d}ak,$

$l=20m,d_3=38cm,d_3=42cm$