A mechanical resonator consists of two rigid bodies, each one having inertia J = 0.001 kgm2. They are coupled by means of a flexible shaft, with stiffness KK = 500 Nm/rad. The internal (viscous) friction of the shaft is KV = 0.01 Nm/(rad/s). Calculate the resonant and antiresonant natural frequency and relevant damping factors. (Hint: use Eq. 8.5.)