运动叠加原理的一种充要条件及其应用

A Necessary and Sufficient Condition for Motion Superposition Principle and Its Applications

提出并证明了运动叠加原理的一种充要条件.之后,运用此充要条件对3类质点运动的分解作了讨论.结果表明,抛体运动可以分解为自由落体运动和以初速度为速度的匀速直线运动两个独立分运动;均匀磁场中带电质点的运动可以分解为沿磁场方向的匀速直线运动与在垂直于磁场的平面内发生的匀速圆周运动这样的两个独立运动;均匀电磁场中带电质点的运动可以分解为沿磁场方向的匀变速直线运动、沿同时垂直于磁场与电场方向的匀速直线运动和在垂直于磁场的平面内的匀速圆周运动这3个独立分运动.

A necessary and sufficient condition for motion superposition principle has been derived.And by using the condition,decompositions of three kinds of particle motions has been discussed.The results show that a projectile motion can be decomposed into a uniform motion with the velocity equal to initial value and a free-fall motion.And a motion of a charged particle in a uniform magnetic field can be decomposed into a uniform motion in the direction of the magnetic field and a uniform circular motion in the plane perpendicular to the magnetic field.In addition,a motion of a charged particle in a uniform electromagnetic field can be decomposed into a uniform variable rectilinear motion in the direction of the magnetic field,a uniform motion in the direction perpendicular to the magnetic field and the electric filed,and a uniform circular motion in the plane perpendicular to the magnetic field.