One end of the pile of chain kept on a support falls vertically through a hole in its support and pulls the remaining links steadily.

The links which are at rest acquire the velocity of the hanging part suddenly without having interaction with the remaining stationary links and support.

If the acceleration of the falling chain is $\dfrac{g}{k}$, where $g$ is acceleration due to gravity and $k$ is a positive integer.

What is $k$?

Details and Assumptions

- There is no interaction between the links falling and the stationary links and support
- The chain is uniform