### Oscillations

A bead of the mass $m$ can move on a straight wire along $y$ axis without friction. The bead is connected to two springs (spring constant $k$, length $a$). The springs are connected to the points $(-l,0)$ and $(l,0)$, $l>a$, respectively. Initially the bead starts moving from $(0,0)$ with the velocity $v$. Assuming that the the oscillations are small, find their frequency and amplitude.