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Re:跪求大牛,公式是怎样推出来的

Posted by codinglover at 2010-11-14 01:43:40 on Problem 1607
In Reply To:跪求大牛,公式是怎样推出来的 Posted by:zhouxiaozi at 2009-03-14 20:09:18
从上面的卡片往下看,设前n-1个超越的长度是L(n-1),则再加上最下面的一个共n个超越的长度设为L(n), 可将上面的n-1个看成一个整体,最下面的单独看,则由力矩平衡可得,(n-1)m×(L(n)-L(n-1))=m×[1/2-(L(n)-L(n-1))]  (其中m为各个卡片的质量),化简下即得递推关系式:L(n)-L(n-1)=1/2n

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