# Tension in a hanging chain

**Classical Mechanics**Level 5

A uniform chain of length \(L=3~\mbox{m}\) is suspended from two points \(P_{1}\) and \(P_{2}\) at the same level. Due to the chain's weight, its tension varies from point to point. If the tension at the endpoints of the chain is \(n=7\) times greater than the tension at the lowest point, find the distance \(d={P_{1}P_{2}}\) **in meters** between the points of suspension \(P_{1}\) and \(P_{2}\).