(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I'm not sure if this should be in this thread of the calculus one as it involves a bit of both. Basically I have to to make a question up that applies Hooke's Law. The only other condition is that k (the spring constant) must be equal to 20N/m. It should involve integration or differentiation.

2. Relevant equations

F = -ks

F = ma

a = -Rw^{2}sinwt

3. The attempt at a solution

My current idea is to use to use the simple harmonic equations associated with an oscillating spring. I plan on giving out the acceleration and some conditions so that the person solving the problem has to integrate it twice to get s = blah (where s equals displacement). I will also give out the force so that then they can calculate k, which will end up being 20. Does anyone think this will work or if it's too easy? (the question should be suited for an advanced maths class but not overly difficult)

The main issue i'm having is if it's applying Hooke's law. Does anyone else have any other ideas about how to come up with a challenging question using this very simple law (perhaps using period or that equation for a mass attached to the end of the string with the square root sign)? A teacher was telling me about using acceleration in the F = ma equation and using that to differentiate but i was a ltitle confused by it.

Also, what does w mean? I understand it is angular velocity but I'm not quite sure what that means in relation to an oscillating spring.

Thanks for your time!

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# Homework Help: Making up a question for Hooke's Law based on Calcullus

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