(Solution) If Tan Can Be Rewritten As And Where Is The Resonant Frequency. This Is Because The Particular Solution Or Response Function, Has The Greatest... | Snapessays.com


(Solution) If tan can be rewritten as and where is the resonant frequency. This is because the particular solution or response function, has the greatest...


Resonance Second-order Linear Differential Equation problemIf tan? can be rewritten as

 

and

 

where

 

is the resonant frequency. This is because the particular solution or response

 

function, has the greatest magnitude when the driving frequency equals this value. In other

 

words, the system resonates with maximum response at this frequency. If the expression for

 

is plotted as provided by equation

 

vs

 

show that this

 

quantity has its peak

 

where

 

and show also that a sufficiently narrow peak is approximately symmetrical with a width half-

 

maximum of

 


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This question was answered on: May 23, 2022

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