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Theoretical Study of the Energies of the Oscillating System with a Well- Distributed Mass of the Spring
Authors:Yewan Ma  Hansen Chang  Zhaowang Wu  Yanyan Jiang  Juan Li  Xunchang Yin  Quanjin Liu  Lihua Zhang
Affiliation: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 waveequation, 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, whichmakes 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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