Discuss the meaning of the result for total energy in a whole mass spring system

AI Thread Summary
The total energy in a mass-spring system is expressed as (v^2*m/4)[sin^2(nt) + sin^2(3nt)], indicating a time-dependent energy variation. This periodic nature suggests that energy oscillates rather than decays or remains constant, which is typically expected in real systems with friction. The discussion highlights the need to consider physical implications, such as energy conservation and the effects of damping forces. For a complete analysis, it's crucial to address how this result aligns with theoretical expectations and real-world behavior. Understanding these dynamics is essential for accurately interpreting the system's energy characteristics.
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Homework Statement


Had to work out the total energy in a mass spring system (Part d of question), which has been found to be:

(v^2*m/4)[sin^2(nt) + sin^2(3nt)]


The next part of the question (e) says to 'Discuss the meaning of your result to part (d) above'

And I have no idea what to write! It is worth nearly 10% of the whole assignment! Any help would be much appreciated.

Thanks
 
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Your expression for total energy depends on time periodically. This cannot be true. It must either monotonically decay with time (if friction/resistance is present), or be constant.
 

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