What are the two frequencies associated with a body undergoing forced vibrations? What happens when these two frequencies are equal?
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The amplitude become large when the frequency of the driving force (ω) is near the natural frequency of oscillation or when ω=ω 0
. This frequency is known as resonance frequency. Amplitude of oscillation for a forced, damped oscillator is
A= (ω 2−ω 02 )+(bω/m) 2f 0/m
where b is constant related to the strength of the resistive force, ω 0= k/m
is natural frequency of undamped oscillator (b=0).
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