摘要
针对普通物理的一道摩擦力对斜面上物体做功的力学选择题,从简单到一般分别进行了讨论,分析发现如果不考虑物体垂直斜面方向的运动,在斜面的高度和水平长度均相同的情况下,只要斜面与物体间的摩擦因数相同,无论斜面是直的还是凹下或是凸起,摩擦力所做功都是相同的.如果考虑物体垂直斜面方向的运动,摩擦力对凸起斜面上的物体所做的功小于摩擦力对直斜面上物体所做的功,摩擦力对凹下斜面上的物体所做的功大于摩擦力对直斜面上物体所做的功。同时选择特殊情况对有关的微分、积分方程进行了求解,利用计算机作图技术对微分方程的求解结果分别不同情况、不同的摩擦系数进行了讨论,发现微分方程求解的结果中有些是与物理事实不符,分析了其中的原因。
A mechanics choice question about friction work to object on slope has been discussed thoroughly from simple to general.It was found that the friction work is the same for slopes of defferent shapes with the same high and the same horizontal length in case that the movement of perpendicular slope was not taken account.If the movement of perpendicular slope was taken account,it was found that the friction work of heave slope is lower than friction work of straight slope and friction work of sag slope is higher than friction work of straight slope.The differential and integral equations were solved in special situation.The results have been discussed by computer diagraph analysis method in different situation and different friction coefficients.It was found that some of the results from the differential and integral equations did not agree with the physical reality.The reason has been analyzed.
出处
《物理与工程》
2017年第S1期24-28,共5页
Physics and Engineering
