Journals / SV / Vol.53, No.4

Research Article

BEST PAPER 2021

Theoretical Study of the Energies of the Oscillating System with a Well- Distributed Mass of the Spring

Yewan Ma, Hansen Chang, Zhaowang Wu, Yanyan Jiang, Juan Li, Xunchang Yin, Quanjin Liu, Lihua Zhang*
School of Physics and Electrical Engineering, Anqing Normal University, Anqing, 246133, China.
* Corresponding Author: Lihua Zhang. Email: zhangllhh@126.com.

Abstract

The energy of a spring with a well-distributed mass ms is theoretically studied in this paper. The solution of the wave equation is derived in detail, and then the kinetic energy and potential energy of the spring are studied with the wave equation, as well as the kinetic energy of the oscillating mass M. The kinetic energy and potential energy of the spring, and total energy are numerically simulated for different ratios ms/M with considering the spring’s mass, which makes the property of energy of the oscillating system understood easily.

Keywords

Spring; kinetic energy; potential energy of a spring; transcendental equation
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