欲问最值在何处 多款软件来相助

• 作 者: 钱爱华
• 机 构: 丹阳市吕城高级中学,
• 出 处: 物理教师
• 发表日期: 2011年08期
• 关键词: 细绳 竖直平面 二次函数 水平地面 仿真物理实验 极值法 几何画板 正半轴 函数图像 计算机模拟

1问题的提出问题.如图1所示,支架的质量为M,放在水平地面上,转轴O处用长为r的细绳连接一质量为m的小球,小球在竖直平面内做圆周运动.在小球运动一周的过程中,支架对地面压力的最大值和最小值出现在何处?已有一些文章对此作了分析,得出了正确的结论,但一般都是直接用数学的方法处理,如用二次函数极值法或导数求极值.笔者在工作之余学习了一些软件,觉得用软件来解决物理问题不失为一种好方法.

1 problem .As shown in Figure 1, the mass of the bracket M, on the level of the ground, the shaft O Department with a long rope r connected to a quality m ball, the ball in the vertical plane Do a circular motion in the course of a small ball during the week, the stent on the ground pressure maximum and minimum appear where? Some articles have analyzed this, come to the correct conclusion, but are generally direct Using mathematical methods, such as quadratic function extremum method or derivative of the extremum.I learned some software while I was away from work, I think software to solve the physical problem is a good way.