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Q.

Find the limiting values of amplitude of a force damped oscillator, when (i)  ωd<<ω0 and (ii)  ωd>>ω0.

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a

Fmω02,Fmωdωd2+bm2

b

2Fmω02,F2mωdωd2+bm2

c

F2mω02,Fmωd2ωd2+bm2

d

F2mω02,F2mωdωd2+bm2

answer is A.

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Detailed Solution

A=F0/mω02−ωd22+bωdm2 When ωd<<ω0A=F0/mω022=F0mω02When ωd>>ω0A=F0/mωd4+bm2ωd2=Fmωdωd2+bm2
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