The governing differential equation of motion of a damped system is given by $\mathrm{m} \frac{\mathrm{d}^{2} \mathrm{x}}{\mathrm{dt}^{2}}+\mathrm{c} \frac{\mathrm{dx}}{\mathrm{dt}}+\mathrm{kx}=0 .$ If $\mathrm{m}=1 \mathrm{~kg}, \mathrm{c}=2 \mathrm{Ns} / \mathrm{m}$ and $\mathrm{k}=2 \mathrm{~N} / \mathrm{m}$ then the frequency of the damped
oscillation of this system is______________rad/s

Question ID - 1 | SaraNextGen Top Answer

The governing differential equation of motion of a damped system is given by $\mathrm{m} \frac{\mathrm{d}^{2} \mathrm{x}}{\mathrm{dt}^{2}}+\mathrm{c} \frac{\mathrm{dx}}{\mathrm{dt}}+\mathrm{kx}=0 .$ If $\mathrm{m}=1 \mathrm{~kg}, \mathrm{c}=2 \mathrm{Ns} / \mathrm{m}$ and $\mathrm{k}=2 \mathrm{~N} / \mathrm{m}$ then the frequency of the damped
oscillation of this system is______________rad/s