In: Mechanical Engineering
a It was observed that natural frequency of a torsional pendulum when vibrating in vacuum is 280Hz. But, the damping frequency is 220Hz when the same pendulum is dipped in an oil of specific gravity 0.9. Find the value of damping factor of the oil. (Hint: There is no damping in case of vacuum)
b A vibratory system weighing 1.5tonnes has the the following successive amplitudes: 5.00, 3.15, 2.00, 0.75, 0.50, 0.30, 0.20, 0.10 mm respectively. The time gap between two successive cycles is 0.64s. Draw the displacement-time graph of the system. Also, calculate the damping ratio, natural frequency and stiffness of the associated spring