task $3$

The trolley $1$ with four wheels $4$ moves along the horizontal plane without sliding. On the trolley there is a cylinder $2$ and a load $3$ connected by a flexible inextensible thread $($fig $3).$ The cylinder rolls on the trolley without slipping. Cylinder $2$ and co$-$scaffolding $4$ are solid homogeneous disks having radii $r_2$ and $r_4$ respectively. The luss of bodres $1-4$ are $m_1,m_2,m_3,m_4.$ The force $F=F(t).$ The angle of inclination of the side surface of the horizontal is $.$

Introduce a translationally moving coordinate system connected to the cart. Assuming $x(t)$ an $s(t)$ to be given the functions. Calculate the absolute velocity and absolute acceleration of point $A$ of the cylinder. Draw the components of the Vectors vec$(v{)}_{abc}$ And vec$({)}_{abc}$