Modelling a Variable Mass Pendulum System

The study of pendulum-based systems has been a subject of interest, from the cartpendulum and the Kapitza pendulum, among others, which are the most studied. However, one of the less addressed pendulums is the variable mass pendulum, which involves a difficulty not common in other types of systems. Due to this, the modelling of a variable mass system is carried out using the Euler-Lagrange formalism, thus finding a nonlinear system. The dynamic modelling of this system does not delve into the characteristics of variable mass but presents the intrinsic difficulties of such a system.