Question

Mechanical Vibration: What is the effect of an increase in the resistance constant c on the amplitude and frequency of the vibrations given by: http://i41.tinypic.com/209pt8n.png

Answer 1

If c is small as is normally the case, then \(Ae^{-ct/2m}\) is the effective amplitude of the sinusoidal vibration. A larger c value causes the exponential to decay faster, and as a consequence, so will the vibration.