P3.2. A dynamic vibration absorber is shown in Fig. P2.2. This system is representative of many situations involving the vibration of machines containing unbalanced compo- nents. The parameters M, and k may be chosen so that the main mass M, does not vibrate when F(t) = a sin wot. (a) Obtain the differential equations describing the system. (b) Draw the analogous electrical circuit based on the force-current analogy. Force F(t) M Tro Mz k12 Ty() Figure P2.2. Vibration absorber.