please answer this question Please answer correctly showing

Solution

DAMPING RATIO:

DAMPING COEFFICIENT(C):

in practicle application damping ratio will applicable majorly because it will decide the nature of damping.and The value of the damping ratio determines the behavior of the system such that = 1 corresponds to being critically damped with larger values being overdamped and smaller values being underdamped. If = 0, the system is undamped.

and that characterizes the frequency response of a second order ordinary differential equation. It is particularly important in the study of control theory. It is also important in the harmonic oscillator.