the various displacements of various amounts by which you pull it,

以及你拉动弹簧产生的不同大小的位移
and in this example if you pull the spring by an amount x,

在这个例子中如果你把弹簧拉伸 x
it exerts the force - k · x,

它将产生 - k·x 大小的力
and you can measure k and you put the label on your product

你能够测量出 k 的值并标在产品的标签上
and you sell the spring with a given k.

那么你售出的弹簧都有确定的 k
Other people are measuring masses of various objects

别人测量不同物体的质量
and they've decided the mass of this is whatever, maybe 1 kilogram.

并来确定这个物体的质量是多少比如 1 千克
You put the two sides together

令等号两边相等
and you find the response of the system for all future times.

你能得出系统在之后任意时刻的运动
And what this tells you then,

这告诉你什么呢
you can now plot this.

我们现在来画一个图
This is a graph that looks like this;

图像是这样的