One end of a massless spring of spring constant k and natural length l0 is fixed while the other end is connected to a small object of mass m lying on a frictionless table. The spring remains horizontal on the table. If the object is made to rotate at an angular velocity $\omega$ about an axis passing through fixed end, then the elongation of the spring will be :

Question

One end of a massless spring of spring constant k and natural length l₀ is fixed while the other end is connected to a small object of mass m lying on a frictionless table. The spring remains horizontal on the table. If the object is made to rotate at an angular velocity $\omega$ about an axis passing through fixed end, then the elongation of the spring will be :

${{k - m{\omega ^2}{l_0}} \over {m{\omega ^2}}}$

${{m{\omega ^2}{l_0}} \over {k + m{\omega ^2}}}$

${{m{\omega ^2}{l_0}} \over {k - m{\omega ^2}}}$

${{k + m{\omega ^2}{l_0}} \over {m{\omega ^2}}}$

Solution

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