Spring constant of trampoline and cradle

AI Thread Summary
The discussion centers on the spring constant of trampolines and cradles, with the main question being whether a lower spring constant is preferable for both to allow for greater extension. It is suggested that a trampoline should have a low spring constant for better bounce, while the cradle's spring constant is debated, with some indicating it should be high for stability. The relationship between spring constant and oscillation periods is also mentioned as a potential factor affecting cradle design. Clarification is sought on the correct spring constant values for both applications. Understanding these differences is crucial for their respective functionalities.
Icy98
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1. The problem statement, all variables and given/known
Spring constant of trampoline and cradle

Homework Equations


k=F/x

The Attempt at a Solution


I think a trampoline should have a low spring constant so that the extension is bigger. Is this correct? For cradle, in my opinion, it should have a low spring constant too so that the extension is bigger and the babies are able to sleep soundly. However, according to the answers given, the spring of a cradle has high spring constant. Does anyone know which one is correct? If yes, please kindly explain to me.
 
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For a cradle the factor might be the period of the oscillations?
 
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