M Rashidi Spring 2021 2 Design Problems Problem 1: A dynamic vibrion absorber is shown in Figure 1. This system is representative of many situations ivloving the vibration of machines containing unbalanced components. The parameter M2 and k 12 may be chosen so that the main mass M1 does not vibrate in the steady state when F(t) = a sin(w t). Obtaine the equations of motion of the stem as shown in terms of the system parametra. . Design the intertia damper (M2 = ? and K12 = ?) for the case of M1 = 20 kg, k1 = 16,000 N/m, C = 100 N-sec/m, @ = 300 rad/sec, and a = 60 N Force k1 LJC F(t) M1 TyICD) K 12 M2 1 y2 (1) Figure - 1 Vibration Absorber