As shown in Fig. 1, a wheel of radius r =0.1 m and mass M= 10 kg is rolling (i.e. no slip between the wheel and the surface) back and forth on a circular surface of radius R=1 m. At the time when wheel reaches the bottom, the velocity of the mass center is v = 0.05 m/s pointing horizontally to the right. Calculate the following:
a) Respective velocities of points A (bottom of the wheel), B (top of the wheel) and C (rearmost point of the wheel).
b) Respective accelerations of points A, B and C on the wheel as indicated.