Free vibration in 2DOF spring mass systems

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    Spring Vibration
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To analyze natural frequencies and mode shapes from a displacement vs time graph in a 2DOF spring mass system, it's essential to understand the relationship between displacement data and system dynamics. Specific exercises or examples can clarify how to interpret these graphs effectively. The discussion emphasizes the need for clear, focused questions to facilitate better assistance. Additionally, the relevance of displacement vs time graphs to the topic is questioned, suggesting a need for further context or clarification. Understanding these concepts is crucial for grasping the fundamentals of free vibration analysis.
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Homework Statement
Identify the experimental value of the natural frequencies and mode shapes using the graphs obtained from the experimental data
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I am completely new to this subject and I am trying to find out how I read data off a displacement vs time graph to find the natural frequencies and mode shapes. Lecturer hasn't provided any materials on graphs, just looking for some help and where to go so I can understand it. Thank you
 
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Hello @M2H37 ,
:welcome: ##\qquad ##!​

You've come to the right place for help !
For good assistance, it's best to ask answerable questions: we need you to point us in the direction of assistance that is useful for you. The more specific, the better.

In this case: find a typical exercise with a "displacement vs time graph" and point out what it is you don't undestand.

You're new to the subject, so I don't expect a highbrow mathematical approach is appropriate at this point.

##\ ##
 
The statement does not mention anything about displacement versus time graphs. Why do yo think that such graphs are relevant to the question? Is the assignment statement as given in the OP or there is more to it?
 
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