A vibration measuring instrument is used to measure the vibration of a machine vibrating according to the relation x = 0.007cos(2πt)+0.0015cos(7πt) where the amplitude x is in m and t is in s. The...

A vibration measuring instrument is used to measure the vibration of a machine vibrating according to the relation x = 0.007cos(2πt)+0.0015cos(7πt) where the amplitude x is in m and t is in s. The vibration measuring instrument has an undamped natural frequency of 0.4 Hz and a damping ratio of 0.7. Will the output be faithful to the input? Explain