Rotational MotionMedium

Question

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)?

Options

A.Both the points $P$ and $Q$ move with equal speed
B.Point $P$ has zero speed
C.Point $P$ moves slower than point $Q$
D.Point $P$ moves faster than point $Q$

Solution

Sol. [Key Concept: Rolling motion — velocity of the top vs bottom point of a wheel]

In the case of pure rolling,

The topmost point will have velocity $2v$ while point $Q$ i.e. lowest point will have zero velocity. Hence point $P$ moves faster than point $Q$.

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