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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
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.
Detailed Solution
[add image: rolling wheel with top point P moving at 2v and contact point Q at rest]
For pure rolling, the lowest point Q (point of contact) is instantaneously at rest: $v_Q = v - v = 0$.
The highest point P moves with speed $v_P = v + v = 2v$.
So point P moves faster than point Q.