Find the mass matrix (in local coordinates) for the two degree of freedom system displayed in Fig. P6.7.  if \(m_{1}=10 \mathrm{~kg}\) and \(m_{2}=12 \mathrm{~kg}\).

Fig. P6.7 Two degree of freedom system with a rigid, massless bar connecting the two masses, \(m_{1}\) and \(m_{2}\).

mi ki 12 12 k3 x2 k2 m2