论文标题

由带有可变张力的字符串连接的两个块:动态情况

Two blocks connected by a string with variable tension: A dynamic case

论文作者

Suárez, H. J. Herrera, Higuera, M. Machado -, Muñoz, J. H.

论文摘要

在本文中,重新审视了由平滑皮带轮连接的两个块组成的系统的动态案例。一个质量位于没有摩擦的水平表面上,另一个质量具有垂直位移。获得运动方程式,并使用Mathematica软件包确定其解决方案。同样,为此系统制作了实验性蒙太奇,并使用数据采集系统和跟踪器视频分析获得了$ t $的垂直位置$ y $功能的实验数据。关系$ y $ vs $ t $可以由6度的多项式表示。在使用Mathematica获得的理论结果与从跟踪器获取的数据(数据采集系统)获得的理论结果之间,平均相对误差为3.61(10.14)%。

In this paper, the dynamic case of a system made up of two blocks connected by a string over a smooth pulley is revisited. One mass lies on a horizontal surface without friction, and the other mass has a vertical displacement. The motion equation is obtained and its solution is determined using the Mathematica package. Also, an experimental montage for this system is made and experimental data for the vertical position $y$ in function of the time $t$ are obtained using a Data Acquisition System and the Tracker video analysis. The relation $y$ vs $t$ can be represented by a polynomial of degree six. An average relative error of 3.61 (10.14) % is obtained between the theoretical results acquired with Mathematica and the data taken from the Tracker (Data Acquisition System).

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