Difficult# Two Diagonal Springs

APPHMC-UYZNLS

Two springs, each with spring constant $k$ and relaxed length $l$, are initially horizontal, each secured on one side to a wall and connected to a mass $m$ on the other. The mass is lowered a height $h$ from its initial position so that the system is in equilibrium.

In terms of the initial length $l$, height $h$, and spring constant $k$, what is the mass $m$?