A) \[\frac{m{{\omega }^{2}}\ell }{k}\]
B) \[\frac{m{{\omega }^{2}}\ell }{k-m{{\omega }^{2}}}\]
C) \[\frac{m{{\omega }^{2}}\ell }{k+m{{\omega }^{2}}}\]
D) None of these
Correct Answer: B
Solution :
[b] Let x = the increase in the length of spring. Then the particle moves along a circular path of radius \[(\ell +x),\] and the spring force = kx = centripetal force \[\therefore \]\[m{{\omega }^{2}}(\ell +x)=kx\] or \[x=\frac{m{{\omega }^{2}}\ell }{k-m{{\omega }^{2}}}\]
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