First slide

Forced oscillation

Question

The amplitude of a forced oscillator as a function of angular frequency of the driving force as shown in figure. The amplitude is greatest if
$\large \omega$ = natural angular frequency of body
$\large {\omega _d}\,$ = angular frequency of driving force

Moderate

A

$\large {\omega _d}\, > \,\omega$
B

$\large {\omega _d}\, < \,\omega$
C
D

$\large {\omega _d}\, = \,\omega$

Solution

Amplitude is maximum at resonance and $\large {\omega _d}\, = \,\omega$
For forced oscillation with damper, amplitude is given by
Clearly 'A' becomes maximum at $\large \omega \, = \,{\omega _d}$

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