Utilization of physics computation based on maple in determining the dynamics of tippe top

Abstract

Physics computing can be used to help solve complex dynamic equations, both translation and rotation. The purpose of this research is to obtain the tippe top’s dynamic equation using computational physics based maple. The equation of tippe top motion has been reduced by the Routhian reduction method with the Poincare equation with computational assistance. Computation has also been carried out in the search for numerical solutions of tippe top dynamics using the Maple program. Dynamics of tippe top can use a decrease in the Poincaré equation. However, the Poincaré equation requires that quasi coordinates be found from quasi velocity, whereas for the case of reverse topping dynamics cannot be found an exact solution of quasi coordinates of quasi velocity. Therefore, the equation of tippe top must be reduced so that the reverse tippe top problem can be solved. This method can reduce the equation of tippe top motion moving in the flat plane clearly in the form of a set of differential equations. This research has reduced the equation of top tippe motion on the inner surface of the tube and solve the equation of tippe top motion by utilizing physics computation based maple. The findings of this study are equations of tippe top in 3D space in the form of differential equations which can be clearly described using computing.