A Review of Simple Harmonic Motion for Mass Spring System and Its Analogy to the Oscillations in LC Circuit
Corresponding Author : Getahun Getachew
Department of Physics, Wolaita Sodo University, Wolaita Sodo, Ethiopia
Email ID : firstname.lastname@example.org
Received : 2018-07-15 Accepted : 2018-07-15 Published : 2018-08-23
Abstract : Simple harmonic motion comes up in many places in physics and provides a generic first approximation to models of oscillatory motion. The mass oscillating on a spring and the oscillation of LC circuit appear to have little in common because the two systems are apparently different systems but both can be described in terms of second order differential equations with constant coefficients of the same form. With the absence of friction in the mass-spring system, the oscillations would continue indefinitely and we obtain equations for the ways in which the displacement, velocity and acceleration of a simple harmonic oscillator vary with time and the ways in which the kinetic and potential energies of the oscillator vary. Similarly, the oscillations of an LC circuit with no resistance would continue forever if undisturbed and we obtain equations for time varying charge, current, energy stored in inductor and energy stored in capacitor. Therefore, the aim of this article is to discuss the properties of oscillations of mass-spring system and provide interesting analogies with oscillations in LC circuit.
Keywords : Mass-spring system, LC circuit, simple harmonic motion, Analogy
Citation : Getahun Getachew (2018). A Review of Simple Harmonic Motion for Mass Spring System and Its Analogy to the Oscillations in LC Circuit. j. of Physical and Chemical Sciences.V6I3-05 DOI : 10.5281/zenodo.1402378
Copyright : © 2018 Getahun Getachew. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Journal of Physical and Chemical Sciences
ISSN : 2348-327X
Volume 6 / Issue 3
ScienceQ Publishing GroupDownload Article