Figure Q4 shows a Mach trim system from a 737-800. It consists of a hydraulic motor driving gear A which drives gear B. Gear B is directly connected to the horizontal stabiliser via rack and pinion as depicted below. Gear A has a mass of m=6kg, a radius of gyration of K 0.1235m and an angular acceleration of -0.2trad/s. Gear B has a mass of m=20kg, and a radius of gyration of Ka=0.5341m. If the system starts from rest, determine the following when r=3s: a) The velocity of the gear rack. b) The distance the rack has travelled. c) If there is a contact force between the rack and gear B of 50 N, determine the contact force between Gear A and B. d) The applied torque from the hydraulic motor. me B Figure Q4 - Mach Trim System my m [20 marks]