Sistemas oscilantes intrínsecamente no lineales

Amezquita, Anyi; Delgado, María M.; Causil, Diego Alejandro Rasero

doi:10.1590/1806-9126-rbef-2021-0110

Cited by 1 publication

(1 citation statement)

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“…The movement of one mass m connected to two identical springs without friction moving in the direction of x-axis (see figure 1) is a wellknown example of nonlinear oscillations in classical mechanics courses at the university level. It has been analysed previously in some physics textbooks [1][2][3][4][5][6], in several articles [7][8][9][10][11][12] Figure 1. The mass m coupled to two springs with the same elastic constant k: (a) when the particle is in its equilibrium position, (b) when the particle is displaced from equilibrium.…”

Section: Introductionmentioning

confidence: 99%

Underdamped oscillations of a mass between two springs

Herrera-Suárez¹,

Morales-Aranguren²,

Muñoz³

et al. 2022

Phys. Educ.

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The oscillations of one mass m suspended between two different springs, assuming a friction force proportional to the velocity ( x ˙ ) , have been studied. For this purpose, an assembly for this system has been made. The movement of the mass is recorded with a smartphone and analysed with Tracker. It is obtained that the graph of the position of the mass m in function of the time is similar to that of an underdamped harmonic oscillator. The registered data with Tracker are exported to Excel and fit to a nonlinear model through the expression x ( t ) = A e − λ t sin ( ω t + α ) . The nonlinear equation of motion is numerically solved with the free Octave package. This solution es very sensitive to the mass of the particle and the stretching of the springs.

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