Question

Calculate the static deflection in µm of transverse vibrations if the frequency is 200Hz.

(a) 6

(b) 0.6

(c) 60

(d) 0.006

I had been asked this question in an international level competition.

The above asked question is from Natural Frequency of Free Transverse Vibrations in portion Longitudinal and Transverse Vibrations of Machine Dynamics

Answer 1

Correct option is (a) 6

To explain: We know that the natural Frequency of Free Transverse Vibration is given by the equation

f = 0.4985/\(\sqrt{s}\)

where s is the displacement of the spring.

substituting the given values we get

f = 0.00000621255625‬ m.