We consider the motion of a mass \(m > 0\) , Masson a spring, with, Spring constantspring constant \(k > 0\) . First, the spring stretches to balance the gravity. The corresponding position of the mass is referred to as equilibrium position. The vertical displacement of the mass from its equilibrium position is indicated by, Position , i.e.,, Set of real numbersa positive value of q corresponds to a stretched spring, whereas a negative value of q corresponds to a compressed spring. The equilibrium position is indicated by, Equilibrium position . In the following, we refer to this system briefly as “harmonic oscillator.”

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The Classical Mechanical System

  • Horst R. Beyer

摘要

We consider the motion of a mass \(m > 0\) , Masson a spring, with, Spring constantspring constant \(k > 0\) . First, the spring stretches to balance the gravity. The corresponding position of the mass is referred to as equilibrium position. The vertical displacement of the mass from its equilibrium position is indicated by, Position , i.e.,, Set of real numbersa positive value of q corresponds to a stretched spring, whereas a negative value of q corresponds to a compressed spring. The equilibrium position is indicated by, Equilibrium position . In the following, we refer to this system briefly as “harmonic oscillator.”