What happens if a spring is cut in half

If the frequency of oscillation in the first case is a, then the frequency in the second case will be. Dont't have an account? Register Now. Colleges B. Quick links BTech M. Computer Application and IT Change. Pharmacy Change.

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So this is f over X over, too. You use divisions. Okay, One is going to be This two comes up. It's gonna be two f over x two F or over X, But then remember, if you can call that kay was f of X k was f of X, so we can always change this f of x toe original kay and saw our new K one for half that spring becomes two times K because K is samos f over X. Almost thing is that if you split this spring into two, the new spring constant will be twice as much as the old spring constant.

That's what was saying. Ah, the second part of the problem assumes Oh, wants you to have a spring initially with the length of X, and then you split that into three different parts. So it's going to be, you know, x x three XO over three.

Excellent three and excellent three. So now initially F was K X, and then we divide both sides by K. We find a formula for the ah displacement off the spring. So O or rather, I should buck truck that a little bitty wasn't solving for X. But I'm solving for K, which is the spring constant.

So the regional spring constant happens to be a K equals two F over X. If you split the spring into three parts, let's call. This came, too, So F equals to K two times X over three. It's okay to is a spring a spring constant for each one of these small springs.

I want to divide both sides by excellent three on this one acts over three, so we end up with K to being three f over X Initially f over X was a spring constance for the original spring. So we're going to say Que tu because two three K always saying is that if you spit the spring into three different equal parts you the spring constant K too will be three times the original spring.