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Swing Problem

机译:摇摆问题

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摘要

The swing problem is undoubtedly among the classical problems of mechanics. Practice has shown that, to set a swing into motion, one should squat when the swing is in the limit positions and stand erect in the middle vertical position, i.e., execute oscillations with double the natural frequency of the swing. To sustain the oscillations of the swing, the frequency of squatting can be halved. Nevertheless, a clear and complete, qualitative and quantitative, analysis of setting the swing into motion is absent in papers on oscillations and stability.
机译:摆动问题无疑是力学的经典问题。实践表明,要使秋千运动,应在秋千处于极限位置时蹲下,并竖立在中间垂直位置,即以两倍于自然频率的频率进行摆动。为了维持挥杆的摆动,下蹲的频率可以减半。然而,在关于振动和稳定性的论文中,还没有清晰,完整,定性和定量的分析来设定挥杆动作。

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