African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 261

Article in Press

Application of Second Order Ordinary Differential Equations to Simple harmonic and damped Motion

Meseret Cherkos Tessema

  •  Received: 04 March 2017
  •  Accepted: 05 December 2018
In this paper, Application of Second Order ordinary differential equations to Simple harmonic and damped Motion. , simple harmonic system which can easily be solved by period of motion, frequency of motion, equation of motion, amplitude and phase and phase constant. the damping force acts in a direction to the motion and solved by the general solutions of both homogenous(no external force) and non-homogenous (with external force) differential equation within different case and forced motion/driven motion of differential equations. Finally there are four different types of damping which are classified by the outcome of their damping ratio. γ=0: undamped, γ<1:under damped, γ=1:critically damped, γ>1:over damped

Keywords: simple harmonic motion, damped motion