Damping help! Watch

hllo123
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Hi everyone. Just want to ask some questions on damping.
Damping ratio is c/2m where c is the damping coefficient and m is mass.

This means that displacement is X=ec/2mAcos(ωt) right?
just in case.
X is displacement to equalibriumω is omegaA is amplitudet is time

And if so, the derivative of displacement makes velocity and derivative of velocity finds acceleration if damping is involved?
Another question is that does c have a range (e.g 0 to 1)?
I'd really appreciate the answers.
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The-Spartan
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x=e^{\frac{c}{2m}}ACos(\omega t)
yes, the derivative of displacement is velocity and of velocity is acceleration even when damping is involved.
c does not have a set range. It can be any value, if c is larger the decay is larger which means x is less.
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