What is the underdamped frequency of an oscillation?

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SUMMARY

The discussion centers on the underdamped frequency of oscillation in a mass-spring system. The damped frequency is defined by the formula ω^2 = (ω1)^2 - (∂/2m)^2, where ω represents the damped angular frequency, ω1 is the natural angular frequency, ∂ is the frictional coefficient, and m is the mass. Participants confirm that in the underdamped case, the frequency remains constant throughout the oscillation until it eventually stops. This behavior is distinct from other damping scenarios where oscillations do not occur.

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A mass is attached to a spring in underdamped oscillation, the damped frequency is ω^2=( ω1 )^2 -(∂/2m)^2
where ω is the damped angular frequency
ω1 is the natural angular frequency
∂ frictional coefficient
m is the mass attached to the spring

is the damped angular frequency is constant throughout the oscillations ( I mean the angular oscillation is constant until the oscillation stop)
I think the oscillation should not oscillate with constant angular damped frequency. but the formula of damped oscillation is not varies with time so is that constant??

thank you.
 
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