"In the mechanics exhibit at the science museum, a seemingly ordinary rope awaits the visitors' hands to breathe life into it. This is the interactive exhibit ""The Flying Rope""—a captivating experience that transforms simple physical phenomena into a mesmerizing visual feast. The most fascinating aspect of this exhibit is that it makes the invisible forces of physics clearly visible. Through hands-on manipulation, participants can intuitively experience: * Waveform changes produced by swinging at different frequencies * The dynamic relationship between tension and amplitude * The energy transfer process within the rope * The magical effect of resonance * A vivid interpretation of scientific principles Behind the graceful dance lies the rigorous application of physical principles. Every swing of the rope proclaims the truth of Newton's laws, and every wave propagation demonstrates the characteristics of mechanical waves. Particularly astonishing is that when the swing frequency reac
