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第五百四十五章 弓箭手悖论(力学)(2 / 2)

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具体来说,在拉弓的时候,箭并没有扭曲,这种扭曲是手指释放弓弦时的摩擦产生的。

以西方常见的地中海式开弓法为例,这种射法是用右手三根手指拉弦,箭放在弓把左边。左撇子的话左手三根手指拉弦,箭放右边。

此外,因为一根手指拉弓的关系,拇指很容易被擦破皮,所以我国人民从先秦开始就有手指戴韘(shè)的传统,到了清朝这玩意儿就叫做扳指,满语叫“憨得憨”,用的时候是这样的——

总而言之,手指产生了正确方向的摩擦,才能使箭振动,同时产生瞄准目标的两个波节。而在发射前,预判这两个波节到底在哪里,就要靠射手的技术和手感了。

从技术上来说,箭的振动以及波节的位置取决于箭的质量分布和挠度(箭的弹性),以及弓的张弓拉力和拉距。同一把弓,换一根箭射,波节就会发生变化。所以即便是老手,随手抓起一根箭也不能一次射准。

在古代,箭和弓的匹配主要靠人体智能,到了20世纪,这就是数学的事了。

考古学家和历史学家就靠弓箭的数学建模估算古代的冷兵器的量级。说个着名的例子。依靠弓箭数学模型,一些人提出,在1415年英法百年战争期间使用的60克的箭搭配的是张弓拉力超过450牛顿的弓。

振动的箭有更大的迎风面积,受到的空气阻力更大。

弄明白了箭的物理原理后,Hickman 改良了传统的弓,发明了从中间放箭的弓(centre-shot bow)。这类弓射箭时不再有明显的弓箭手悖论,张弓时箭头甚至可以直指目标。

但是现代的弓箭在射出的时候,箭本身依然会左右振动,导致箭产生偏移。所以现代的弓上装有箭震吸收器,吸收箭一开始的振动。

喜欢数学心请大家收藏:数学心本站更新速度全网最快。

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