Analysis of “working together” based on momentum conservation

This paper systematically analyzes and evaluates the team players, concentric drum face, flexible rope and volleyball in the team game system of “working together”, and studies a series of problems including the optimal strategy and error adjustment of the team game. By looking for the mechanical connection of the system composed of players, concentric drum surface, flexible rope and volleyball, using the conservation of momentum theorem and differential equation, this paper gives an accurate mathematical description of the movement of each part of the system, and concludes that the necessary condition of the optimal strategy under ideal conditions is to make the forced vibration of the system reach resonance, that is, to keep the period consistent. Considering that the size and time of the players’ exertion will have an internal impact on the times of hitting the ball, this paper uses the analytic hierarchy process to objectively evaluate the relative weight of the two effects, and uses the weighted method to establish a comprehensive evaluation function to solve the optimal solution of the binary objective decision-making problem. In order to ensure the accuracy of the model, the influence of air resistance on the system is evaluated by hydrodynamics.