FrictionMedium
Question
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 :
Options
A.$\sqrt{\frac{\mu g}{R}}$
B.$\sqrt{\frac{2\text{ }g}{\mu R}}$
C.$\sqrt{\frac{g}{2\mu R}}$
D.$\sqrt{\frac{g}{\mu R}}$
Solution
$${N = m\omega^{2}r,mg = \mu N }{\mu \times m\omega^{2}r = mg }{\omega = \sqrt{\frac{g}{\mu r}}}$$
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