Question

Consider a wheel of a bicycle rolling on a level road at a linear speed $v_0$.

• A. The speed of the particle A is zero.
• B. The speed of B,C and D are all equal to $v_0$.
• C. The speed of C is $2v_0$.
• D. The speed of B is greater than the speed of O.

Answer 1

Answer: (A), (C), (D)

The speed of C is $2v_0$.
The speed of the particle A is zero.
The speed of B is greater than the speed of O.

A is the instantaneous center of rotation, thus its velocity remains zero during rolling. Speed of C is $v+r\omega =2v_o$. Velocity of B is $\sqrt{2}{v}_o$ and that of O is $v_o$