The pinion gear rolls on the gear racks If B is moving to th

The pinion gear rolls on the gear racks. If B is moving to the right at 8 ft/s and C is moving to the left at 4 ft/s, determine the angular velocity of the pinion gear and the velocity of its center A.

Solution

let it have velocity V in right

V - wR = Vb = 8

V + wR = Vc = 4

=> 2wR = 4

=> w = 4/(2*0.3) = -6.666 rad/s

V = - 6.666*0.3 + 8 = 6 ft/s