This colloquium aims to connect experts and researchers from various disciplines to explore cutting-edge developments in non-smooth dynamical systems. Non-smooth phenomena, vital across engineering, robotics, and advanced manufacturing, appear in systems ranging from mechanical linkages to flexible multibody systems and robotic navigation in complex environments. This forum will focus on both foundational theories and real-world applications, covering stability analysis, bifurcations, and experimental modelling in fields like vibration analysis and frictional systems. The colloquium invites participants to exchange insights and foster collaboration, advancing the understanding and management of non-smooth dynamics in emerging technological challenges.