A large drum having radius R is spinning around its axi... | null (Physics) | DivineJEE

JEE Mains 2026 21st January Shift 2

Physics

A large drum having radius R is spinning around its axis with angular velocity

\omega

, as shown in figure. The minimum value of

\omega

so that a body of mass M remains stuck to the inner wall of the drum, taking the coefficient of friction between the drum surface and mass M is

\mu

, is :

\\

\sqrt{\frac{\mu \mathrm{g}}{\mathrm{R}}}

\sqrt{\frac{2 \mathrm{~g}}{\mu \mathrm{R}}}

\sqrt{\frac{g}{2 \mu R}}

\sqrt{\frac{g}{\mu R}}

Correct Answer:

\\ \begin{aligned} & \mathrm{N}=\mathrm{m} \omega^{2} \mathrm{r}, \mathrm{mg}=\mu \mathrm{N} \\ & \mu \times \mathrm{m} \omega^{2} \mathrm{r}=\mathrm{mg} \\ & \omega=\sqrt{\frac{\mathrm{g}}{\mu \mathrm{r}}} \end{aligned}

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