A bicycle wheel is rolling along a level road with a linear speed v₀ , as illustrated in the figure.

Step-by-step solution

For a wheel in pure rolling on a stationary horizontal surface, the velocity of any point on the wheel is the vector sum of the translational velocity of the center of mass ( v₀ ) and the tangential velocity due to rotation about the center of mass ( R ). Since the wheel is rolling without slipping, the velocity of the lowest point A (point of contact) is zero. Thus, v_A = v₀ - R = 0 , which gives R = v₀ . The velocity of the topmost point C is the sum of the translational and rotational velocities, both pointing i