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Physics · PYQ NEET UG 2019(1)
हिन्दीA block of mass \( 10\text{ kg} \) is in contact against the inner wall of a hollow cylindrical drum of radius \( 1\text{ m} \). The coefficient of friction between the block and the inner wall of the cylinder is \( 0.1 \). The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis, will be (\( g = 10\text{ m/s}^2 \))
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Correct answer · Option A
\( 10\text{ rad/s} \)
Explanation
For the block to remain stationary, downward gravitational force \( mg \) must be balanced by upward frictional force \( f = \mu N = \mu m \omega^2 r \). Thus, \( mg \le \mu m \omega^2 r \implies \omega \ge \sqrt{\frac{g}{\mu r}} = \sqrt{\frac{10}{0.1 \times 1}} = 10\text{ rad/s} \).
