A chain of mass M and length L is suspended vertically with its lowest end touching the scale. The chain is released and falls ono the scale. What is the reading of the scale after a length x of the chain has fallen?

So what I really have to find is the force applied by the string onto the scale for any x. This force is composed of the gravitational force of the part that is already lying on the scale, plus some other force, which i suspect is coming from the fact that the chain is falling with a certain velocity. The problem is I don't know what exactly this force is.

I assumed that it would be

[tex]F = \frac{dp} {dt}[/tex]

which doesn't make a lot of sense to me.

Any hints as to how I could at least model this problem would be helpful.

So what I really have to find is the force applied by the string onto the scale for any x. This force is composed of the gravitational force of the part that is already lying on the scale, plus some other force, which i suspect is coming from the fact that the chain is falling with a certain velocity. The problem is I don't know what exactly this force is.

I assumed that it would be

[tex]F = \frac{dp} {dt}[/tex]

which doesn't make a lot of sense to me.

Any hints as to how I could at least model this problem would be helpful.

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