Question 1 (CLO 2-C5) Time Domain 0.5- Amplitude(g) Figure 1a Acceleration V 04- 0.3- 0.2- 0.1- 0- -0.1- -0.2- -0.3- -04- M -0.5 0.02 0.04 0.06 0.08 aiz ais ais ais 0.24 0.26 0.28 Time Figure 1b A simply supported beam as shown in Figure 1a is attached with balancing motor with the maximum speed of 3000 rpm to study the force vibration. An eccentric mass (me) of 5 grams is installed on motor shaft with an eccentric radius of 20 mm from the center of shaft. Bump test was carried out and natural frequency obtained was 17 Hz. The time waveform for bump test is given in Figure 1b. i. Calculate the damping ratio for the 2 DoF system. ii. Calculate the force when the motor is operating at 1500 rpm. iii. Calculate the amplitude of displacement when the speed of the motor is 1500 rpm.