The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where $$\delta {\text{S}}$$ = Static deflection of simply supported shaft due to uniformly distributed load)?

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  1. $$\frac{{0.4985}}{{\sqrt {\delta {\text{S}}} }}$$
  2. $$\frac{{0.5615}}{{\sqrt {\delta {\text{S}}} }}$$
  3. $$\frac{{0.571}}{{\sqrt {\delta {\text{S}}} }}$$
  4. $$\frac{{0.6253}}{{\sqrt {\delta {\text{S}}} }}$$

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Answer: Option 2

Let'

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