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Topic: Equilibrium of rigid bodies, rigid body rotation, equations of rotational motion· Rotational 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)?

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)?

rolling wheel with top point P and bottom point Q, velocity v

1. Point \(P\) has zero speed.

2. Point \(P\) moves slower than point \(Q\).

3. Point \(P\) moves faster than point \(Q\).

4. Both the points \(P\) and \(Q\) move with equal speed.

1 answer

Best answer

Answer: 3. Point \(P\) moves faster than point \(Q\).

Key idea: In pure rolling, each point has speed = (speed of centre) + (rotational speed about the centre), both measured along the road direction.

The centre moves with speed \(v\). The rotational speed is \(\omega R=v\). At the top point P the two add up, giving \(2v\). At the bottom point Q they cancel, giving zero (Q is momentarily at rest).

So P moves faster than Q: option 3.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
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