Question

Which of the following is correct?

(a) Wn = \(\sqrt{\frac{k}{m}}\)

(b) Wn = 1.2*\(\sqrt{\frac{k}{m}}\)

(c) Wn = 2*k

(d) Wn = \(\sqrt{\frac{1}{m}}\)

The question was asked at a job interview.

This question is from Dynamic Stability topic in division Stability, Control, and Handling Qualities of Aircraft Design

Answer 1

The correct option is (a) Wn = \(\sqrt{\frac{k}{m}}\)

Explanation: A typical relation of natural frequency is illustrated in the above question. Natural frequency in the terms of spring coefficient and mass can be given as follows Wn = \(\sqrt{\frac{k}{m}}\) where, Wn = natural frequency, k is spring coefficient and m is mass of the system.