Data:

$m_1=12kg,m_2=6kg$

$m_3=6kg$

$r_1=0\mathrm{.}3m,r_2=0\mathrm{.}1m,$

$L_1=0\mathrm{.}2m,L_2=1m,$

$M_0=50Nm,$

$k_1=2000\frac{N}{m},$

$k_2=1000\frac{N}{m},$

$c=40N\frac{s}{m},$

$e=0\mathrm{.}8,$

$=0\mathrm{.}2,{}_0=0\mathrm{.}25$

$g=9\mathrm{.}81\frac{m}{s^2}$

The rigid homogeneous disk $1$ and the rigid homogeneous circular disk $2$ are connected by an id Disk $1$ can move on the horizontal rough ground as shown in the Figure. $($The coefficient of $s$ kinetic friction between ground and disk $1$ are ${}_0$ and $,$ respectively$).$ The connecting rope is woun $2,$ and moment $M_0$ is acting on disk $1.$

The system starts from rest at the instant $t=0.$ Disk $1$ is slipping, because the coefficient of static not enough large to keep rolling. Disk $2$ will rotate about the fixed axis passing through $B.$

The homogeneous slender bar $3$ is in equilibrium in the vertical position. Disk $1$ will hit the bar $3t=t_1.$ Friction in the bearings $B$ and $C$ is to be neglected. The impact factor is e $,$ the spring stiffnes and $k_2,$ respectively. The damping coefficient of viscous damping is c $.$