A chain of uniform mass density and mass and length is hanging from ceiling through a string. The other end of the chain is held at rest at the position shown in the figure. At time the held part of chain is left to fall under gravity. Find the tension in the string as a function of time (neglecting friction). Your answer can be represented as
where , , and are positive coprime integers. Enter your answer as .
Note: Figures are not to scale.
This is inspired by Depanshu's Chain please don't fall! and is a part of my set Aniket's Mechanics Challenges.