A ball rolling on a horizontal surface without slipping encounters a curved incline as shown in diagram below. The curved incline is smooth and frictionless.
What will happen to the rolling ball on the curved incline and why? Will it continue to roll without slipping or will it move up the incline without rolling?
My take on this situation
I think the ball will continue rolling but with decreasing angular velocity and decreasing linear velocity of it's center. The angular velocity will decrease because the gravity force mg acting vertically down will exert a clockwise torque about an axis passing through the point of contact of ball with incline and perpendicular to the incline plane (i.e. axis is perpendicular to the plane of paper). I am not sure about this explanation and observation.