Supermarket belt A circular cylinder, which is axially symmetric but not uniform, has mass M and moment of inertia Mk2 about its axis of symmetry. The cylinder is placed on a rough horizontal belt at right angles to the direction in which the belt can move.
Initially the cylinder and the belt are both at rest when the belt begins to move with velocity V(t). Given that there is no slipping, find the velocity of the cylinder at time t.
Explain why drinks bottles tend to spin on a supermarket belt (instead of moving forwards) if they are placed at right-angles to the belt.