1 推冰块问题
A、B两处被一堵长度为2x的墙MN隔开,MN与AB互相垂直平分,A、B两处与墙的距离均为20m.
在A处有一块重达1000kg的静止的冰块,现在要把它推到B处.
最大的推力为1000N,方向可以任意改变,没有最大速度限制.
冰块最终必须静止在B处,而且运动的过程中不能撞墙.
地面被冰雪覆盖,完全光滑,冰块的运动不受任何阻力(除了推力).
请设计一种推法,使冰块从A处运动到B处所用时间最短.
``````````M``````````
``````````|``````````
``````````|``````````
``````````|``````````
``````````|``````````
A←-20m-→|←-20m-→B
``````````|``````````
``````````|``````````
``````````|``````````
``````````|``````````
``````````N``````````
作者: 东方角落 2007-3-26 22:03 回复此发言
A、B两处被一堵长度为2x的墙MN隔开,MN与AB互相垂直平分,A、B两处与墙的距离均为20m.
在A处有一块重达1000kg的静止的冰块,现在要把它推到B处.
最大的推力为1000N,方向可以任意改变,没有最大速度限制.
冰块最终必须静止在B处,而且运动的过程中不能撞墙.
地面被冰雪覆盖,完全光滑,冰块的运动不受任何阻力(除了推力).
请设计一种推法,使冰块从A处运动到B处所用时间最短.
``````````M``````````
``````````|``````````
``````````|``````````
``````````|``````````
``````````|``````````
A←-20m-→|←-20m-→B
``````````|``````````
``````````|``````````
``````````|``````````
``````````|``````````
``````````N``````````
作者: 东方角落 2007-3-26 22:03 回复此发言