Question

1. Consider a damped mass-spring system with m=6 and k=10 being subjected to harmonic forcing. Find...

1. Consider a damped mass-spring system with

m=6

and

k=10

being subjected to harmonic forcing. Find the value of the damping parameter

b

such that the driving frequency that maximizes the amplitude of the response is exactly half of the natural (undamped) frequency of the system.

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Answer #1

driving frequancy of oscillator ios given by

where is natural frequancy of mass spring system

and is damping frequaancy

so, for driving frequancy become equal to half of natural frequancy

so,

-

or

so putting values we get

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