Answer Happy

A machine element weighing 450 kg is supported by two springs, each having a constant of 40,000 N/m, and a dashpot damper, as shown in Figure 4(a). The system is set into free oscillation and its vertical displacement is recorded as shown in Fig. 4(b), where x - 30 mm, and xp-15 mm. No Figure 4/5) a) Detsomine the model elongation of each spring due to the self-weight of the machine. (3 marks) (b) Based on the free vibration with damping data in Fig 4(b). determine the Logarithmic diecrement &, and (3 marks (c) the corresponding damping ratio of this system. (4 marks) $_1 (d) A harmonic excitation force with an amplitude of 100 N and a frequency of 3 He is applied on the mass. Determine for this forced excitation vibration: The frequency rator, and (4 marks) (e) The amplitude of the steady-state response of the system, and (5 marks) X= (f) the maximum dynamic force exerted at the dashpot damper support. (6 marks) damp IN