Module 8 :  Free Vibration with Viscous Damping; Critical Damping and Aperiodic
                        Motion; Logarithmic Decrement;Systems with Coulomb Damping.
Lecture 1 :   Free Vibration with Viscous Damping
Free Vibrations with Viscous Damping
 

Fig 8.1.1 Free Damped Vibrations

Fig 8.1.2 Free body Diagram
  A single degree of freedom damped system and its free body diagram are shown in Fig.8.1.1 and 8.1.2. Applying Newton 's second Law,
 
8.1.1
  
This is an ordinary linear differential equation of second order.
   
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