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一、绳子中各质点的速度和加速度一正弦横波在很长的绳子中传播时,各质点经过各自的平衡位置时速度最大,加速度为零,到达最大位移时速度为零,加速度最大、速度大小的变化容易理解,而加速度为什么有这般变化?有人这样想:在平衡位置附近,绳子的相对伸长最大,因此张力和弹性势能最大,加速度应该最大;在最大位移处,绳子的相对伸长最小,张力和弹性势能也最小,加速度应该最小。
First, the velocity and acceleration of each particle in the rope. When a sine wave propagates in a long rope, each particle passes its own equilibrium position and the velocity is the maximum, the acceleration is zero, the velocity reaches zero when the maximum displacement is reached, the acceleration is the largest, and the velocity is the largest. The change is easy to understand, and why does the acceleration change? Some people think that: near the equilibrium position, the relative elongation of the rope is maximum, so the tension and elastic potential energy is the maximum, the acceleration should be the maximum; at the maximum displacement, the relative elongation of the rope The minimum, tension, and elastic potential are also the smallest and the acceleration should be minimal.