Haitao Liu, Dalei Jiang, and Haiwei Li.  Study on Dynamics of Trajectory of Shot-Put Shot Based on Differential Equation Based on Particle Motion Theory.  Dynamic Systems and Applications 29 (2020) No. 3, 669-682

https://doi.org/10.46719/dsa202029321

ABSTRACT.
The thesis is guided by theoretical mechanics and advanced mathematics. Using the differential equation of particle motion in dynamics, the shot is regarded as a particle. Based on the comprehensive force analysis and gravity analysis of the shot, the shot is analysed. After the running trajectory, calculate the trajectory equation of the shot put process, and calculate the horizontal displacement of the shot under two different stress conditions based on the data measured in the actual game, and use SPSS to perform correlation and difference tests, Further analyse the influence of air resistance and buoyancy on the running process of shot put. The conclusion is: the results obtained by the two types of force analysis are highly correlated (P = 0.943), and the difference is not significant (P> 0.05), which is not statistically significant, so air can be ignored during the shot operation Resistance and buoyancy.

Keywords: theoretical mechanics; dynamics; particle; differential equation.