A box of mass $1kg$ is mounted with two cylinders each of mass $1kg$, moment of inertia $0.5kg m^2$ and radius $1m$ as shown in figure, Cylinders are mounted on their control axis of rotation and this system is placed on a rough horizontal surface, the rear cylinder is connected to battery operated motor which provides a torque of $100n-m$ to this cylinder via a belt as shown. if sufficient friction is present between cylinder and horizontal surface for pure rolling, find acceleration of the vehicle in $\frac{m}{s^2}$ . ( Neglect mass of motor, belt and other accessories of vehicle).