Question

Experts, does the Spring constant of a spring change if its length is changed?

Answer 1

Dear student

Yes spring constant of the spring depend on the length of the spring.
$$\begin{gathered} LetaspringoflengthoflisundertheactionofauniformforceF.thenthe \\ force\cos \tan tisgivenby \\ k=\frac{F}{l} \\ ifthespringiscutintoequalpartsoflengthl/2thenforcecons\tan tisgivenb \\ k\text{'}=\frac{F}{l/2}=2\frac{F}{l} \\ k\text{'}=2k \\ soforcecons\tan tincreasesasthelengthofthespringdecreases. \end{gathered}$$