节点文献
质点在斜面上的二维运动
TWO-DIMENSIONAL MOTION OF A PARTICLE ON AN INCLINED PLANE
【摘要】 质点在斜面上受到大小恒定的下滑力和摩擦力而运动,但后者方向随速度而变化。摩擦因子与斜面坡度比值即等效摩擦因子λ> 1时质点最终在斜面上停止;0.5 <λ≤1时质点不会停止但水平方向运动距离存在限界,而λ≤0.5时水平方向也可运动至无穷远。相同等效摩擦因子下质点运动轨迹的曲线簇具有包络线。
【Abstract】 A particle on an inclined plane is under the action of a constant sliding force due to the gravity and a frictional force,with the direction of the frictional force varying with the velocity.When the ratio of the friction factor to the slope gradient of the inclined plane,i.e.the equivalent frictional factor,λ> 1,the particle will eventually stop on the slope;when 0.5 <λ≤1,the particle will not stop but with a limit in the horizontal direction;and when λ≤0.5,the particle can move to an infinite distance in the horizontal direction.The curves of the particle trajectories have an outer envelope for the same equivalent friction factor.
- 【文献出处】 力学与实践 ,Mechanics in Engineering , 编辑部邮箱 ,2019年05期
- 【分类号】O31
- 【被引频次】1
- 【下载频次】123