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JEE Main 2023 (11 Apr, Shift 1) · Level Road & Rotating Platform

Level Road & Rotating Platform question from JEE Main 2023 (11 Apr, Shift 1)

Q8JEE Main 2023 · 11 APR · SHIFT 1Medium

Level Road & Rotating Platform

A coin placed on a rotating table just slips when it is placed at a distance of $1\text{ cm}$ from the center. If the angular velocity of the table is halved, it will just slip when placed at a distance of _________ from the centre:

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Answer: (c)

Just slipping: $m\omega^2 r = \mu m g$ , so $\omega^2 r$ is constant.
$r' = r\left(\frac{\omega}{\omega/2}\right)^2 = 4r = 4 \times 1$ cm
So the answer is (c) 4 cm.

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