wangdawei203的博客

Using an energy analyzing approach, a simple model is raised for finding the “sweet spot” and analyzing its parametric property. To simplify the problem, the bat hit by a high speed ball is studied as a cantilever. By set up its dynamic model and energy formula, finding the sweet spot reduced to finding the spot which minimize the energy transferring between the ball and the bat. Numerical methods are given to solve the dynamical equation and compute the total energy the bat received. Using our model and algorithms, we can easily calculate the position of the “sweet spot” and analyze its variation with the parameters such as the geometrical parameters and physics constants. Our calculation shows that the energy transferred into the bat is minimized at the position 22 inches from the handle of the bat, which means the maximum power transferred to the ball. The model is in excellent agreement with experimental data.