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NEET 2024 · Rolling Motion

Rolling Motion question from NEET 2024

Q22NEET 2024Easy

Rolling Motion

A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is $v$ in the direction shown, which one of the following options is correct ( $P$ and $Q$ are any highest and lowest points on the wheel, respectively)?

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Answer: (b)

In rolling, each point has velocity $v$ (translation) plus $\omega r$ (rotation), with $v = \omega R$ .
Top point P: $v_P = v + \omega R = 2v$ .
Bottom point Q (contact point): $v_Q = v - \omega R = 0$ .
So the answer is (b): P moves faster than Q.

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