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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 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)?
medium
System of Particles and Rotational Motion
2024
physics
Both the points P and Q move with equal speed.
Point P has zero speed.
Point P moves slower than point Q.
Point P moves faster than point Q.
Explanation
To solve this problem, we need to analyze the motion of points P and Q on the wheel.When a wheel rolls on a surface without slipping, the velocity of the point in contact with the ground (point Q) is zero.The center of the wheel moves with velocity in the direction of motion.The velocity of any point on the wheel is the vector sum of the translational velocity of the center and the rotational velocity around the center.For point P (the highest point on the wheel):
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