程序跟踪器在旋转运动分析中的应用

J. Kúdelčík, Peter Hockicko, M. Kúdelčíková
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引用次数: 0

摘要

任何物体在二维空间中的旋转运动都可以分为两个部分:物体在空间中的重心运动和相对于物体重心的旋转运动。物体的运动速度和方向可以被外力改变。如何观察力对其运动的影响的一种可能性是使用动态模型。采用Tracker程序求解自行车车轮旋转运动的动力学模型。Tracker是一个免费的视频分析和建模工具,建立在开源物理(OSP) Java框架上。它是为在物理教学中使用而设计的。在动力学模型中,有确定的力函数和常微分方程数值解的初始条件。在旋转或振荡运动的情况下,力的方向和大小的表达更为复杂,并且在Help of程序中没有信息。本文讨论了均匀加速旋转运动和车轮绕定轴旋转的动力学模型的表达式。一个固定的轴意味着一个运动只有一个自由度-角度,这使得旋转运动分析更容易。
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The application of program Tracker at the analyse of rotation motion
A rotation motion of any object in two dimensions can be divided into two parts: the motion of a center of gravity of the object in a space, and rotational motion with respect to the center of gravity of the object. The velocity and direction of motion of an object can be changed by an external force. One possibility of how to see the influence of forces on its motion is to use a dynamic model. The Tracker program was chosen to solve the dynamic model of the rotational motion of the bicycle wheel. Tracker is a free video analysis and modeling tool built on the Open Source Physics (OSP) Java framework. It is designed to be used in physics education. In the dynamic model there are defined force functions and initial conditions for numerical solution of the ordinary differential equations. In the case of rotation or oscillating motion, the expression of the direction and size of the forces are more complicated and in the Help of program there is no information. The paper deals with the expression of a dynamic model for uniform and accelerated rotation motion and wheel rotation around a fixed axis. A fixed axis means that a motion has only one degree of freedom - angle and this effect makes the rotation motion analysis easier.
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