Question

Find the displacement in mm of the free longitudinal vibrations if the Natural frequency is 20 Hz.

(a) 0.1

(b) 0.2

(c) 0.5

(d) 0.6

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

Answer 1

Right choice is (d) 0.6

The best explanation: We know that the natural Frequency of Free Longitudinal 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:

s=0.6 mm.