President Lincoln himself fixed the end of the line at Omaha, in Nebraska.

当时是那位令人永远怀念的林肯总统亲自选定了内布拉斯加州的奥马哈城作为这个新铁路网的起点。

He put it on the table and fixed the end of it under the lamp.

他把它放在桌子上，把它的一端固定在灯下。

And the momentum from that downward movement carried the rope below the fixed end, inverting the wave.

向下运动的动量将绳索带到固定端下方，使波浪反转。

For the fundamental with two fixed ends, we already know that the wavelength is twice the string's length.

对于主要的两个固定侧，我有 我们知道波长是斜边长度的两倍。

For example, for a string with two fixed ends, you’ll notice that the fundamental covers exactly half a wavelength.

例如，对于具有两个固定端的弦， 您会注意到基波恰好覆盖了半个波长。

A string with two fixed ends -- like in a piano -- is probably the simplest way to understand standing waves.

双端和弦… … 就像钢琴… … 是 可能是理解驻波的最简单方法。

For example, for a string with two fixed ends, you'll notice that the fundamental covers exactly half a wavelength.

例如，对于具有两个固定端的和弦， 请注意，基波覆盖了一半的波长。

Remember how the fundamental wave for a string with two fixed ends covered half of a wavelength?

还记得和弦的基本波是如何产生的吗？ 两个固定端覆盖一半波长？

Remember how a wave traveling down a rope gets reflected differently, depending on whether the end of the rope is fixed or loose?

我记得行波是如何沿着绳索反射的 不同，取决于党是否？

That’s because, when the pulse reached the fixed end of the rope, it was trying to slide the end of the rope upward.

那是因为，当脉冲到达绳子的固定端时，它正试图向上滑动绳子的末端。

And just like a string with two fixed ends, the second harmonic for a pipe with two open ends also covers a full wavelength.

两端固定的和弦，覆盖泛音 第二种是全波长的双端长笛。

And if one or both of the string’s ends are fixed, then each fixed end is a node too, because it’s stuck in place.

如果绳子的一个或两个末端是固定的， 那么每个固定的末端也是一个节点， 因为它固定在原地。

So, for the fundamental of a string with two fixed ends, the length of the string is equal to half a wavelength.

所以，有两个固定端的基弦， 弦长等于波长的一半。

And if one or both of the string's ends are fixed, then each fixed end is a node too, because it's stuck in place.

如果字符串的一端或两端是固定的， 每个紧固件都被认为是一个结，因为它保持在原位。

The frequency of a standing wave with two fixed ends will just be equal to the number of the harmonic, times the fundamental frequency.

两端固定的驻波的频率为 谐波数乘以基频。

That's because, when the pulse reached the fixed end of the rope, it was trying to slide the end of the rope upward.

那是因为当脉搏到达绳子的末端时， 她试图将绳子的末端向上滑动。

A fixed end will invert the wave -- turning crests into troughs, and vice versa -- while a loose end will just reflect it without inverting it.

固定端会反转波——将波峰变成波谷，反之亦然——而松散端只会反射它而不反转它。

Remember how the fundamental wave for a string with two fixed ends covered half of a wavelength? The fundamental wave for a pipe with two open ends also covers half of a wavelength.

还记得两端固定的弦的基波是如何覆盖半个波长的吗？具有两个开口端的管道的基波也覆盖半个波长。

We discussed harmonics, and how to find the frequency of a standing wave on a string with two fixed ends, a pipe with two open ends, and a pipe with one closed end.

我们讨论了谐波，以及如何找到两端固定的弦、两端开口的管子和封闭端的管子上的驻波频率。

The second-simplest standing wave you can have on a string with two fixed ends has 3 nodes -- one at each end, and one in the middle -- plus 2 antinodes in between the nodes.

具有两个固定端的弦上第二简单的驻波有 3 个节点——每端一个，中间一个——加上节点之间的 2 个波腹。