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A bicycle wheel rolls without slipping on a horizontal floor. Which one of the following is true about the motion of points on the rim of the wheel, relative to the axis at the wheel's centre? UIPMER 2017]

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Points near the top move faster than points near the bottom

All points have the velocity vectors that are pointing in the radial direction towards the centre of the wheel

All points on the rim move with the same speed

Points near the bottom move faster than points near the top

answer is C.

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Detailed Solution

All particles particles on the rim of the wheel move along circular path of radius r with same angular velocity $ω$ . Therefore speed of all particles is same and is given by $v = r ω$ .

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