question_answer

The equation of motion for a single degree of freedom system with viscous damping is: \[4\ddot{x}+9\dot{x}+16x=0.\] The damping ratio of the system is:     

A) \[\frac{9}{128}\]                                   

B) \[\frac{9}{16}\]

C) \[\frac{9}{8\sqrt{2}}\]               

D) \[\frac{9}{8}\]