Archive | 2021
Equações diferenciais aplicadas ao pêndulo com massa dependente do tempo: estudo de massa com variação exponencial e polinomial
Abstract
Differential equations are one of the contents that are applied in several areas. In Physics, one of the applications is the simple pendulum that has oscillation independent of the mass, when it is constant. However, when the mass is no-constant, the variation of linear momentum must be rewritten. In this work, two types of variable mass are proposed, as an exponential function and in terms of the time variable powers. In cases of gain of mass in the exponential variation, there is damping that is shown by the graphs of their solutions. When the mass is written in terms of powers, after substitution of variables, the problem is modeled by the Bessel Equation which has a dependent order of the power used in the mass function. At the end, the participation of the mass in the damping was verified and the analyzed problems are shown as applications that enrich the differential equations study field.