MECHANICAL AND ENERGY ANALYSIS OF AMPLITUDE INCREASE OF THE LATO-LATO BALL UNDER VERTICAL DRIVING FORCE

This paper conducts theoretical analysis, numerical simulation and experimental exploration on the third question of the 2025 International Young Physicists Championship, "Lato Lato". This problem describes the phenomenon that the amplitude of a symmetrical lato-lato ball continuously increases under the action of the vertical driving force. In this paper, the motion equations of the same lato-lato ball system were obtained from both Newtonian mechanics and analytical mechanics perspectives. Theoretical analysis was conducted to determine the factors influencing the motion of the lato-lato ball. Combined with the energy analysis during the system's motion process, the physical mechanism of the amplitude increase in the lato-lato ball was qualitatively explained. Meanwhile, numerical simulations and experimental studies were carried out on the motion of the lato-lato ball. The theoretical analysis, numerical simulation and experimental verification are in good agreement.