Question

Increasing mass will result in lower frequency.

(a) True

(b) False

The question was asked in an interview for job.

This key question is from Natural Frequency of Free Transverse Vibrations in portion Longitudinal and Transverse Vibrations of Machine Dynamics

Answer 1

Right answer is (a) True

For explanation: We know that deflection is given by the relation :

Wl^3/3E.I

Increasing the mass will result in an increased deflection which, frequency decreases as the deflection increases hence increasing mass will reduce the frequency of vibration.