For the rack-and-pinion mechanism in the posture shown, link 2 is the input, and pinion 3 is rolling without slipping on rack 4 at point D. Determine the first-order kinematic coefficients of links 3 and 4. If the constant input velocity is VG =

3ˆi in/s, determine the angular velocities of rack 4 and pinion 3.

Figure P3.41 RGO4 = 10 in, and RDG = ρ3 = 5 in.