Multiple choice

A vibratory system consists of a mass 12.5 kg, a spring of stiffness 1000 N/m, and a dashpot with damping coefficient of 15 Ns/m.

The value of critical damping of the system is

  1. 0.223 Ns/m

  2. 17.88 Ns/m

  3. 71.4 Ns/m

  4. 223.6 Ns/m
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\text{Given m=12.5kg, k=1000Ns/m, c=15Ns/m}\\ \text{Critical Damping,}\\ \hspace{3.2cm}C_c=2m\sqrt{\frac{k}{m}}=2\sqrt{km}\\ \text{On substituting the values, we get}\\ \hspace{3.2cm}C_c=2\sqrt{1000}\times12.5=223.6Ns/m$

Keep practicing — related questions