# Forces on a rolling cone on a plane surface

I came up with a question in while studying pure rolling in mechanics. Consider a hollow cone on a flat surface with its curved side lying on the floor. On applying an impulse on the cone at the curved side, close to the centre of mass of the cone, it is observed that the cone undergoes pure rolling while it itself rotates about its apex. My question is that why does the centre of mass undergoes circular motion even after the impulse if apparently, there is no force acting on the cone. I know that there is no friction present after the impulse because frictional force acts only when there is net force on the mass and in this there is nothing like tension or something which provides centripetal force.

EDIT: The cone seems to experiences this force only when the centre of mass has relative motion and that means the force might be velocity dependent. But we know neither gravitational force nor static friction are velocity dependent. So there might be some other force acting.