(30 pts) For the oscillation system with two blocks with masses $m_1$ and $m_2$ connected by a single spring with spring constant $k_2$, determine
(1) The Lagrange function L
(2) The kinetic energy coefficients $T_{11}$, $T_{22}$, $T_{12}$, $T_{21}$
(3) The potential energy coefficients $V_{11}$, $V_{22}$, $V_{12}$, $V_{21}$
(4) The secular equations of motion
(5) The oscillation frequency $\omega$.
(6) If $m_2 << m_1$, what is the limit of $\omega$?
(Hint: $x_1$, $x_2$ are displacements of $m_1$ and $m_2$, so the spring stretches by $x_2 - x_1$)
