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When two identical balls collide with equal inital speed on a horizontalgroove, one can observe three trajectory types depending on the groove width.To explain this observation, we derive velocity diagrams of the balls motionsfrom Newton's laws of translation and rotation and kinematics of rigid bodiesin a three-dimensional vectorial representation and compare them withexperimental results. The velocity diagrams and an introduced determinant allowto discriminate between the trajectory types and to understand the interplaybetween translation and rotation after the collision of the balls.

Collision of two balls in a groove -- An interplay between translation and rotation