一例物理运动问题的数学分析

通过对一物理运动问题的分析,揭示了该题所包含的数学规律.由题中情景建立了相应的物理模型,结合题中的约束条件,对质点进行了受力分析,得到了该质点的运动轨迹为一椭圆,进而证明细绳两端与竖直方向的夹角相同,于是证得细绳两端拉力相等,并计算出该椭圆周长的近似值.对今后的数学和物理教学具有一定参考价值.

The mathematic analysis of a physical movement problem

Based on a physical problem analysis,reveals the laws of mathematics in the problem.Firstly,by the problem scenarios established the physical model,analysized the forces that effect the particle under constraint condition of the problem,proved that the motion trajectory of the particle is an ellipse.And then proved that the angle between the string ends and vertical direction are same,so the cord pulling force equal at both ends,and calculated approximation of the circumference of ellipse.It has a certain reference value for the mathematical and physical education in the future.