Find the mass matrix (in local coordinates) for the two degree of freedom system displayed in Fig. P6.9.  if \(m_{1}=10 \mathrm{~kg}\) and \(m_{2}=12 \mathrm{~kg}\).

Fig. P6.9 Two degree of freedom system with a rigid, massless bar connecting the mass, \(m_{2}\), to a fixed pivot.

12 12 Pivot for rigid, massless bar k mi X1 k2 m2 X2