矢量等式的投影在力学教学中的运用

The Application of Projection of Vector Equations in Mechanics Teaching

在力学的教学过程中,常常会遇到矢量等式的投影问题。无论是一维、二维还是三维问题,利用矢量等式对两边进行投影,两边的代数值也会相等。以理论力学的教学为例,分别列举了静力学、运动学和动力学各一个实例来说明矢量等式的投影原理的应用。避免了对每一个章节的每一个矢量等式的投影公式作说明或证明。矢量等式投影原理同样适用于其它的力学课程、大学物理及电工电子等含矢量等式的课程。

In the teaching process of mechanics,the projection problem of vector equation is often encountered.If both sides of vector equations are equal,then the both sides of their projections will be equal whether it is one-dimensional,two-dimensional or three-dimensional problems.Taking the teaching of theoretical mechanics as an example,the application of the projection principle of vector equality is illustrated by the examples of statics,kinematics and dynamics respectively.The projection formula for each vector equation of each different chapter is avoided as a description or proof.Vector equality projection principle is also available to other courses in mechanics,college physics and electrotechnology which include vector equations.