Question

If the spring displacement is high then the frequency of the spring increases.

(a) True

(b) False

This question was posed to me in an international level competition.

The doubt is from Natural Frequency of Free Longitudinal Vibrations topic in chapter Longitudinal and Transverse Vibrations of Machine Dynamics

Answer 1

Right choice is (b) False

Best explanation: The natural frequency of the free longitudinal vibration depends on the displacement and gravitational acceleration (g) by the relation:

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

where s is the displacement of the spring.

since it is not directly proportional, the given statement is false.