Question

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?

• A. Points near the top move faster than points near the bottom
• B. Points near the bottom move faster than points near the top
• C. All points on the rim move with the same speed
• D. All points have the velocity vectors that are pointing in the radial direction towards the centre of the wheel

Answer 1

The correct option is A Points near the top move faster than points near the bottom

We have, $V_A=2v\sin \theta /2$
Hence, velocity of point on rim increases with $\theta$ for $0^o<\theta <{180}^o$ and decreases with $\theta$ for ${180}^o<\theta <{30}^o$.