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烧杯中球的平衡问题 – 译学馆
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烧杯中球的平衡问题

Beaker Ball Balance Problem

在这儿的就是实验装置
Here is the set up.
我有一个天平 两个完全一样的烧杯 烧杯里会放上相同质量的水
I have a balance and two identical beakers, which I fill with exactly the same amount
但一边的烧杯里浸着一个与杯底相连的
of water, except in one of the beakers there is a submerged ping pong ball tethered to
乒乓球
the base of the beaker.
另一个烧杯里是一模一样大小用丙烯酸做的球
And in the other there is an identically sized ball but made of acrylic.
从材料来看 它比水的密度更大
So it is denser than water and it is supported by a thread.
现在我想让你们预测一下
Now I want you to make a prediction.
如果我松手 让它们自由转动
If I were to release this balance and allow it to rotate freely, which way do you think
你认为哪一边会翻掉 是丙烯酸球的那边?或是乒乓球的那边?还是它们会继续
it would tip, toward the acrylic ball, toward the ping pong ball or would it remain perfectly
保持平衡?
balanced?
你可以通过按屏幕注释上的按键或是
You can make your selection by clicking on one of the on screen annotations or clicking
点击简介里的链接来选择
a link in the description.
如果它们的质量是一样的 我觉得不会翻倒
>> If they are both displacing the same amount, like, I think it won’t rotate.
是的 它不会翻掉
So, yes, it will not rotate.
会保持平衡
>> Stay balanced.
乒乓球有质量但是并不重
>> The ping pong ball does have mass, albeit not very much.
我猜这边会沉下去
I would predict that this end will sink.
我认为这边会升起来 因为它更轻
>> I almost feel like this end would lift, because it is lighter than … but it wouldn’t
但是它不会被拉着 因为它连接着杠杆
be pulling, because it is tethered to the lever.
我不知道
I don’t know.
我觉得是这样的
>> I am thinking it would go this way.
我这样认为是因为把它拉起来的拉力
I am thinking because of the tension that is pulling this up.
所以我猜 如果你把这些力合起来 这边就更重一些
>> So I guess if your summing the forces, this one is more.
然后这边就会升起来
So then this is going to rise.
不……
No…
好吧
All right.
那么我改变主意了
So I just switched my mind.
我选这边会升起来
I am going to go with this one is going to rise.
但是 我的意思是这边 它似乎没有做任何力 因为
>> But, I mean, it seems like this shouldn’t be contributing any force to this side, because
它是悬浮的 所以力平衡了
it is suspended and the forces are balanced.
这意味着会有更多的法向力作用在这边 这边就会翻
>> That means you would have more of a normal force on this side and it would tip that way.
乒乓球的那边会翻?
>> It will tip down on the ping pong ball side?
是的 肯定是乒乓球那边
>> Yeah, definitely the ping pong ball side.
是的
>> Yeah.
这太奇怪了
That is so weird.
所以现在你认为这边的会浮上来 这边的会沉下去
>> So now you think it is going to up on this side and down on this side.
准备好了吗?
>> Are you ready?
3 2 1
Three, two, one.

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视频概述

一边是乒乓球 一边是丙烯酸做的球 除此之外烧杯和球的大小都是一样的 哪边会沉下去 哪边会翻呢

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