Does Mass Affect Vibration Response in Single Degree of Freedom Systems?

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Considering the free vibration response of a single degree of freedom system:

It is observed ,that, larger the Time Period (Vibration Period -"T") of the system(consider a single degree of freedom system), greater is the peak deformation of the system.Right?

Time Period on the other hand is directly proportional to the mass (m)(T=2*pi*sqrt(m/k)) , k being the stffness of the system.

This means a system having more mass hence more "T" will have higher peak deformation.Right?

But if a system has more mass it offers more inertia, right?Now, if the system offers more inertia should'nt the peak deformation be less??

Plz. help!
 
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jrm2002 said:
It is observed ,that, larger the Time Period (Vibration Period -"T") of the system(consider a single degree of freedom system), greater is the peak deformation of the system.Right?
Why do you say that?