Determine an approximate expression for the half-power 3 db, Mechanical Engineering

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Determine an approximate expression for the half-power 3 db

The frequency transfer function for a simple oscillator is given by

(a) If a harmonic excitation u(t) = a cos ω_nt is applied to this system what is the steady-state response?

(b) What is the magnitude of the resonant peak?

(d) At what excitation frequency is the response amplitude maximum under steady state conditions?

(e) Determine an approximate expression for the half-power (3 dB) bandwidth at low damping. Using this result, suggest an alternative method for the damping measurement

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Mechanical Engineering: Determine an approximate expression for the half-power 3 db

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Mechanical Engineering: Determine an approximate expression for the half-power 3 db

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