A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length $\ell $. The other end is fixed. The system is given an angular speed $\omega $ 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 :

Question

${{m\ell {\omega ^2}} \over {k - m{\omega ^2}}}$

${{m\ell {\omega ^2}} \over {k - m{\omega}}}$

${{m\ell {\omega ^2}} \over {k + m{\omega ^2}}}$

${{m\ell {\omega ^2}} \over {k + m{\omega}}}$

Solution

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