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suppose I asked you to time a 100 meter spring in the Olympics, but I give you a stopwatch that is measured in units of 15 seconds?
如果我要求你,在奥林匹克数给100米短跑计时，但我会给你一个秒表,它可以测出15秒的大小？
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When we did the spring, we had this theory of Hooke's Law that told us something, and we built a simulation, or built some tools around that theory.
当我们写弹簧程序的时候,我们有胡克定律来告诉我们原理，然后我们建立了一个仿真模型，或者说是在这个理论基础上建立了一些工具。
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If you put your fingers between the plastic opening at the bottom, and here's where you gotta watch out for the spring, pull the thing apart and that's it.
如果你把手指放到,底部的缝隙中间，这里你需要小心，你剥开就会发现这个了。
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These risks spring from the fact that philosophy teaches us and unsettles us by confronting us with what we already know.
这风险源自于以下事实,即哲学就是让我们面对自己熟知的事物,然后引导并动摇我们原有的认知。
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These are not actually from last spring, but they're typical enough that I was too lazy to make some new quotes.
这些成绩不是来自上个学期，但是他们足够典型了,以至于我都懒得举新的例证。
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Each year it's dramatized by the cycle of the seasons, And at a certain time of the year it seems that The forces of darkness and chaos are prevailing but each spring, Once again, cosmic order and life return.
每年这冲突都由季节的轮回戏剧性地体现出来，仿佛是每年都有一个时期,弥散着黑暗和混乱的势力，可是每当春天来临，宇庙的秩序又恢复了。
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You cannot have a spring pulled only at one side, because then it will then accelerate with infinite acceleration in that direction.
你不可能对弹簧只施加一边的拉力,因为那样的话弹簧就会以无穷大的加速度加速,就在这个方向上
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They're two water companies, so they're Poland Spring and Coca-Cola I guess these days, sign this agreement saying that each one's going to produce half monopoly quantity and what's going to go wrong with that agreement?
有两家瓶装水公司,比如说波兰泉和可口可乐,他们签署了协议规定,每家都只生产垄断产量的一半,这个协议有什么问题吗
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By Spring Break he'd gotten sufficiently sick that his doctor basically said, "You can't continue in school anymore.
春假的时候，他病得十分严重,他的医生直截了当地说，“你不能再上学了。
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The other would be characteristic of agriculturalists: it would be an offering of the very first barley that would be harvested in the spring.
另一种是具有务农者特色的,他们献上的是春天里收获的第一颗大麦粒。
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If every time I get the same acceleration, I'm convinced this is a reliable spring that is somehow producing the same force under the same condition.
如果每次都能得到相同的加速度,这个弹簧的可靠性就能令人信服,即它在相同的条件下能够产生相等的力
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In the case of a spring, this is the law that you will deduce.
在弹簧这个例子里,这就是你推导出来的定律
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For example, how do I know that when I pull the spring the first time for the mass, it exerted the same force when I pulled the spring the second time for the elephant?
例如 怎样才能知道,第一次连着物体拉弹簧时,产生的力和,第二次连着大象拉弹簧时产生的力是相等的呢
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So Steve and Patrick are respectively the managers of Coca-Cola and Poland Spring and Patrick believes that the Coca-Cola manager is going to may be we should just make this Coke and Pepsi since two identical they're near enough and identical, right?
史蒂夫和帕特里克分别是,可口可乐和波兰泉的经理,帕特里克认为可口可乐的经理打算,或许该用可口可乐和百事可乐,他们俩才是对手是吧
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That m times a is the force the spring is exerting.
与 a 的乘积就等于弹簧产生的力
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It also tells you that if you compress the spring, compress it means x is now-- x is measured from this position, where the spring is neither compressed nor expanded.
它还能告诉你,如果压缩弹簧,压缩就意味着现在 x...,x 是从这个位置开始算的,在这个位置弹簧既没有压缩也没有伸长
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It says, if you pull it to the right, so that x is positive, the spring will exert a force which is in the negative direction; that's why you have a minus sign.
就是说,如果你向右拉,x 取正值,弹簧产生的力方向为负,这就是这里用负号的原因
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We did the comparison with the elephant or something; a is the second derivative of x and for this problem, when F is due to a spring, we know the force is that by studying the spring.
我们也已经把它与大象或其它东西作过比较,a 是 x 的二阶导数,在这个问题中,F 是由弹簧产生的,我们在讨论弹簧问题时已经知道了力的大小
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This spring is getting squashed on either side, and it'll squash by certain amount x, that depends on your mass, and that x will be turned into a motion of a needle and that'll read your mass.
这个弹簧两边都会受到压缩,压缩量为 x,它由你的质量决定,x 会转换成指针的运动,你从而可以读数
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