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I am having trouble with how to start with one part of the question:

"In this exercise, we derived the PDE that models the vibrations of a hanging chain of length $L$. For convenience, the x-axis placed vertically with the positive direction pointing upward, and the fixed end of the chain is fastened at $x=L$. Let $u(x,y)$ denote the deflection of the chain, we assume is taking place in $(x,u)$-plane, as in the figure, and let $\rho$ denote its mass density (mass per unit length).

(Here is where I have trouble starting)

Part a:

Show that, in the equilibrium position, the tension at a point $x$ is $\tau(x)=\rho \cdot g \cdot x$, where g is the gravitational acceleration.

Thanks,

Cbarker1