Static and dynamic spring constants

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SUMMARY

The static spring constant and dynamic spring constant of a spring can be the same value if the spring is massless and linear. The static spring constant is determined by measuring displacement from equilibrium with varying weights, while the dynamic spring constant is calculated by measuring the period of oscillation at a fixed displacement. A spring constant of 30 N/m is generally considered to be a more relaxed spring, as it is easier to stretch compared to stiffer springs with higher constants.

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  • Understanding of Hooke's Law
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  • Basic principles of linear elasticity
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Should the static spring constant and dynamic spring constant of the same spring be the same value (or very close to the same value)?

I know the difference between the two is that static is found by measuring the displacement from equilibrium by adding different weights and dynamic is found by measuring periods by also adding different weights but using the same displacement (example 2 cm displacement for each new added weight).

I just kind of want to know the difference between the two values and if they should be the same or different and why.

Also what value is considered to be a stiff spring or a more relaxed spring? Would say a spring constant of 30 N/m be a stiff and hard to stretch spring or more relaxed and easier to stretch spring?

Thank you for any advice on this :)
 
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They should be the same if the spring is massless and linear.
 

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