How is the formula for critical damping obtained in mechanical vibration?

[Parisa Panahi]

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Hi, I was reading mechanical vibration, free vibrations.
and I don't know how to obtain critical damping.
there is a formula in the attached file, but I don't understand it :(
I would appreciate it if you tell me how did we obtain this formula .

 

[Lnewqban]

Welcome, Parisa!

This may help:
http://hyperphysics.phy-astr.gsu.edu/hbase/oscda2.html

 

[berkeman]

How did you find PF?: Google search

Hi, I was reading mechanical vibration, free vibrations.

Welcome to PF.

The New Member Introduction forum is just for brief intro posts. Please post your question in the main technical forums, probably under the Physics/Mechanics forum. Thanks.

 

[Parisa Panahi]

Welcome, Parisa!

This may help:
http://hyperphysics.phy-astr.gsu.edu/hbase/oscda2.html

thank you so much

 

[Parisa Panahi]

Welcome to PF.

The New Member Introduction forum is just for brief intro posts. Please post your question in the main technical forums, probably under the Physics/Mechanics forum. Thanks.

thank you