+1 vote
in Machine Dynamics by (34.3k points)
Find the displacement in mm of the free longitudinal vibrations if the Natural frequency is 15 Hz.

(a) 1.1

(b) 1.2

(c) 1.5

(d) 1.6

I got this question in semester exam.

The origin of the question is Natural Frequency of Free Longitudinal Vibrations topic in chapter Longitudinal and Transverse Vibrations of Machine Dynamics

1 Answer

0 votes
by (38.6k points)
Right choice is (a) 1.1

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=1.1 mm.

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