A block of mass 10 k g is in contact against the inner wall of a hollow cylindrical drum of radius 1 m . The…

1. $\sqrt{10}\mathrm{r}\mathrm{a}\mathrm{d} {\mathrm{s}}^{-1}$
2. $\frac{10}{2\mathrm{\pi }}\mathrm{r}\mathrm{a}\mathrm{d} {\mathrm{s}}^{-1}$
3. $10\mathrm{r}\mathrm{a}\mathrm{d} {\mathrm{s}}^{-1}$
4. $10\mathrm{\pi }\mathrm{r}\mathrm{a}\mathrm{d} {\mathrm{s}}^{-1}$

Solution

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$N=m{\omega }^{2}R$
$f=mg$
For minimum angular velocity, 
$f=\mu N$
$mg=\mu ·m{\omega }^2\mathrm{R}$
$\omega =\sqrt{\frac{g}{\mu R}}=\sqrt{\frac{10}{0.1\times 1}}=10\mathrm{r}\mathrm{a}\mathrm{d} {\mathrm{s}}^{-1}$

Asked in: NEET 2019 (All India)

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