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水平放置的弹簧振子的振动是简谐运动,这是大家熟悉的模型.可以证明,竖直放置的弹簧振子的振动也是简谐运动,其平衡位置为当f=kx=mg时的位置.利用竖直弹簧振子做简谐运动的对称性,可以快速求解相关问题. 例1 质量分别为m1、m2的木块,被一根轻弹簧连在一起,竖直放在水平地面上,竖直向下的力F作用在m1上,如图1(1).若撤去F后,m1跳起时恰能使m2脱离水平地面,则F的大小为( )
The vibration of the horizontally placed spring oscillator is a simple harmonic motion, which is a well-known model. It can be shown that the vibration of the vertically placed spring oscillator is also a simple harmonic motion, and its equilibrium position is the position when f=kx=mg. The symmetry of the simple harmonic motion of the vertical spring oscillator can solve the related problems quickly. Example 1 The masses of m1 and m2 are connected together by a light spring and placed vertically on the horizontal ground. The force F acts on the m1, as shown in Figure 1(1). If F1 is removed and m1 jumps to make the m2 out of the horizontal ground, then the size of F is ()