A) \[\sqrt{\frac{\mu }{\alpha }}\]
B) \[\frac{\mu }{\sqrt{\alpha }}\]
C) \[\frac{1}{\sqrt{\mu \alpha }}\]
D) Infinitesimal
Correct Answer: A
Solution :
Let the bead starts slipping after time t For critical condition Frictional force provides the centripetal force \[m{{\omega }^{2}}L=\mu \,R=\mu \,m\times {{a}_{t}}=\mu Lm\alpha \] Þ\[m{{(\alpha t)}^{2}}L=\mu mL\alpha \] Þ \[t=\sqrt{\frac{\mu }{\alpha }}\] (As \[\omega =\alpha t\])You need to login to perform this action.
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