For the mechanism in the posture shown, the internal track of input gear 2 is in rolling contact with gear 3 at point C, and the external track is in rolling contact with rack 5 at point F. Gear 3 is also in rolling contact with the fixed gear (link 1) at point E. Determine the first-order kinematic coefficients of gear 3 and the rack. Also, determine the angular velocities of gear 3 and link 4, and the velocity of the rack if gear 2 has an angular velocity

ω2 = 77 rad/s ccw.

Figure P3.54 ρ1 = REO1 = 4 in, ρ2 = RCO2 = 18 in, ρ3 =

RCD = 7 in, and RFA = RBF = 20 in.