Question
A bicycle wheel rolls without slipping on the 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?
Points near the top move faster than points near the bottom
Points near the bottom move faster than points near the top
All points on the rim move with the same speed
All points have the velocity vectors that are pointing in the radial direction towards the centre of the wheel
Solution
A.
Points near the top move faster than points near the bottom
We have, VA = 2v sinθ/2
Hence, the velocity of a point on rim increases with θ for 0° < θ < 180° and decreases with θ for 180° < θ < 30°.
