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1.竖直方向上的简谐运动模型由简谐运动的定义可知,要证明物体做简谐运动可从两方面入手:回复力大小跟物体偏离平衡位置的位移成正比;回复力方向总指向平衡位置.下面就来证明竖直方向上的弹簧振子做简谐运动.如图1,把一个质量为m的有孔小球系在劲度系数为k的轻弹簧的上端,弹簧的下端固定,小
1. The simple harmonic motion model in the vertical direction is known from the definition of simple harmonic motion. It can be known from two aspects that the simple harmonic motion of the object can be proved: the magnitude of the restoring force is proportional to the displacement of the object from the equilibrium position; the direction of the restoring force is always pointing Balance position. Here we prove that the spring oscillator in the vertical direction performs simple harmonic motion. As shown in Fig. 1, a small hole ball with mass m is attached to the upper end of a light spring with a stiffness coefficient of k. The lower end of the spring is fixed and small.