First slide

Damped oscillation

Question

If the differential equation of a damped oscillator is $\large \frac{{m{d^2}x}}{{d{t^2}}} + \frac{{bdx}}{{dt}} + kx\, = \,0$ then angular frequency of damped oscillator is $\large {\omega ^1}$

Easy

A

$\large \sqrt {\frac{k}{m}}$
B

$\large \frac{b}{{2m}}$
C

$\large \sqrt {\frac{k}{m} - \frac{{{b^2}}}{{4{m^2}}}}$
D

$\large \sqrt {\frac{k}{m} - \frac{b}{{2m}}}$

Solution

Displacement equation is
where

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