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The equation of a damped simple harmonic...

The equation of a damped simple harmonic motion is `m(d^2x)/(dt^2)+b(dx)/(dt)+kx=0`. Then the angular frequency of oscillation is

A

`omega=((k)/(m)-(b^(2))/(4m^(2)))^(1//2)`

B

`omega=((k)/(m)-(b)/(4m))^(1//2)`

C

`omega=((k)/(m)-(b^(2))/(4m))^(1//2)`

D

`omega=((k)/(m)-(b^(2))/(4m^(2)))^(-1//2)`

Text Solution

Verified by Experts

The correct Answer is:
A
(a)`omega=sqrt((k)/(m)-((b)/(2m))^(2))`
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