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 s...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.展开更多
基金supported by the program for Higher educational Quality engineering projects of Anhui Province(2018zygc062)Anhui Provincial Natural Science Foundation(1808085MA20 and 1708085MA10)+3 种基金Excellent Young Talents in University of Anhui Province(gxyq2017027)the key Scientific Research Foundation of Anhui Provincial Education Department(KJ2019A0564,KJ2019A0580,KJ2018A0366,Wdxy2018jyxm008 and Wdxy2018jyxm009)Excellent course of Anhui Provincial Education Department(2017kfk061)Wisdom classroom of Anqing Normal University(2018aqnuzhkt008).
文摘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.
