Littlewood's Curious Hoop: Sliding, Gliding, Jumping, and Rolling Motions
In "Littlewood's Miscelleny" the celebrated mathematician John E. Littlewood noted that a hoop with an attached mass rolling on a ground plane may exhibit self-induced jumping. Subsequent works showed that his analysis was flawed and revealed paradoxical behavior that can be resolved by incorporating the inertia of the hoop. In our newly published paper in the Transactions A of the Royal Society tinyurl.com/littlewood-hoop a comprehensive analysis of the dynamics of the hoop is presented.