One end of a straight uniform 1; mathrm{m} lo | vedclass

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Question

From mechanical energy conservation,

$\mathrm{U}_{\mathrm{i}}+\mathrm{K}_{\mathrm{i}}=\mathrm{U}_{\mathrm{f}}+\mathrm{K}_{\mathrm{r}}$

$\Rightar

Vedclass · Accepted Answer

$15$

Vedclass · Answer

From mechanical energy conservation,

$\mathrm{U}_{\mathrm{i}}+\mathrm{K}_{\mathrm{i}}=\mathrm{U}_{\mathrm{f}}+\mathrm{K}_{\mathrm{r}}$

$\Rightarrow \mathrm{mg} \frac{\ell}{2} \sin 30^{\circ}+0=0+\frac{1}{2} \mathrm{I} \omega^{2}$

$\Rightarrow \operatorname{mg} 	imes \frac{1}{2} 	imes \frac{1}{2}+0=0+\frac{1}{2} 	imes \frac{\mathrm{m}(1)^{2}}{3} \omega^{2}$

$\Rightarrow \omega^{2}=\frac{3 \mathrm{g}}{2} \Rightarrow \omega=\sqrt{15}$

$	herefore n=15$

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