A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length l. The other end is fixed. The system is given an angular speed ω about the fixed end of the spring such that it rotates in a circle in gravity free space. Then the stretch in the spring is:
1
\(\frac{\mathrm{m} l \omega^2}{\mathrm{k}+\mathrm{m} \omega^2}\)
2
\(\frac{\mathrm{m} l \omega^2}{\mathrm{k}-\mathrm{m} \omega^2}\)
3
\(\frac{\mathrm{m} l \omega^2}{\mathrm{k}+\mathrm{m} \omega}\)
4
\(\frac{\mathrm{m} l \omega^2}{\mathrm{k}-\mathrm{\omega} m}\)