For the mechanism in the posture shown, where RAO4 = 40 mm, pinion 4, is rolling without slipping on rack 3 at point B. Determine the first-order kinematic coefficients of rack 3 and pinion 4. If VA = 150ˆi mm/s, determine the angular velocities of rack 3 and pinion 4, and the velocity of point E. Also, determine the velocity along rack 3 of the point of contact between links 3 and 4 (that is, point B).

Figure P3.45 ρ4 = 20 mm, and REB = RBA.