Question

Consider a bicycle wheel rolling on a smooth horizontal surface with linear speed $v_0$. Then :

• A. speed of A is zero.
• B. speed of B, C and D are equal and equal to $v_O$.
• C. speed of B > speed of O.
• D. speed of $C=2v_o$

Answer 1

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

The correct options are
A speed of A is zero.
C speed of $C=2v_o$
D speed of B > speed of O.

Point A is the instantaneous center of rotation, thus velocity at A is zero.

Velocity at B has two components- $v_o$ in the linear direction plus the x component of angular velocity. Thus, the speed of B is greater than that of O.

And the velocity at point C again has two components-$v_o$ in the linear direction which is equal to $r\omega$ and the angular velocity $v=r\omega$. Thus velocity at C is $2v_o$