A 50 kg centrifugal fan has a rotating unbalance of 0.1 kg. The fan is mounted on the free end of a cantilever beam of length 1 m. When the fan speed is varied, it was observed that the maximum steady-state amplitude of vibration is 0.02 m. Calculate the natural frequency of the system.
A) 5.0 Hz
B) 7.5 Hz
C) 10.0 Hz
D) 12.5 Hz
