A weightless thread can bear a tension upto 3.7,kg-wt . A stone of mass 500,g is tied to it and revo

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5.Work, Energy, Power and Collision

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A weightless thread can bear a tension upto $3.7\,kg-wt$ . A stone of mass $500\,g$ is tied to it and revolved in a circular path of radius $4\,m$ in a vertical plane. If $g = 10\,ms^{-2}$, then the maximum angular velocity of the stone will be ......... $rad\,s^{-1}$

A

$4$

B

$16$

C

$\sqrt {21}$

D

$2$

Solution

$\mathrm{T}_{\max }=\mathrm{mr} \omega^{2}+\mathrm{mg}$

$3.7 \times 10=0.5 \times 4 \omega^{2}+0.5 \times 10$

$\Rightarrow \quad \omega^{2}=\frac{32}{2}=16$

$\Rightarrow \quad \omega=4$ rad $s^{-1}$

Standard 11

Physics

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