Calculation of the time-dependent velocity and displacement of particle move under time-dependent external force of damping oscillation

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Published: Jun 27, 2023
Keywords:
Velocity Displacement Time-dependent external force exponential-sine resisting force

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Artit Hutem
Division of Science Education, Faculty of Science and Technology, Phetchabun Rajabhat University Thailand

Abstract

The purpose of this research article study was to explore the movement of particle gif.latex?m the controlled by time-dependent external force of exponential-sine function and we have taken non homogeneous linear differential equation of first order in Mathematics and Newton’s second law in physics to calculate the velocity and the displacement of particle the controlled by time-dependent external force of exponential-sine function. The time-velocity and time-displacement of a particle of mass gif.latex?m  is inversely proportional to the parameter of damp coefficient gif.latex?\mu  and the parameter of air force coefficient gif.latex?\alpha . The time-velocity and time-displacement of a particle of mass gif.latex?m  is inversely proportional to the parameter of initial external force coefficient gif.latex?f_{0} and the parameter of number of wave frequencies coefficient gif.latex?w_{n}.

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How to Cite
Hutem, A. (2023). Calculation of the time-dependent velocity and displacement of particle move under time-dependent external force of damping oscillation. Journal of Science and Technology CRRU, 2(1), 1–7. Retrieved from https://li01.tci-thaijo.org/index.php/jstcrru/article/view/257631
Issue
Vol. 2 No. 1 (2023): January - June
Section
Research article
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References

Atamp A.,(1990), Introduction to classical mechanics, Prentice-Hall, United States America, pp.20-63.

Riley, K.F.,& Hobson, M.P. (2006). Mathematical Methods for Physics and Engineering. (3th ed.). New York: Cambridge University Press.

Saptip, C., Moonsri, P. & Hutem, A. (2021). Calculation of displacement and velocity of particle perturbation by time-dependent external force of cosine and sine function, Journal of Science and Technology Phetchabun Rajabhat University, Vol. 1 No. 2 (2021): July-December.