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The equation (d^2y)/(dt^2)+b(dy)/(dt)+...

The equation
`(d^2y)/(dt^2)+b(dy)/(dt)+omega^2y=0`
represents the equation of motion for a

A

Free vibrator

B

Damped harmonic oscillator

C

Forced oscillator

D

Resonant oscillator

Text Solution

Verified by Experts

The correct Answer is:
B
The equation `m (d^(2)y)/(dt^(2))+b(dy)/(dt)+omega^(2)y=0`
represents the equation of motion for a damped harmonic oscillator.
For the free vibrator F= - Ky and if the damping force is proportional to the speed, then
`F= - Ky -bv or m(d^(2)y)/(dt^(2))= - Ky - b(dy)/(dt)`
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