The schematic diagram for a section of an automatic gearbox used to transmit power in a car is shown in Figure A-3. The engine crank is rotating the input shaft A, at a constant angular velocity of 1200 rpm. This shaft provides input to Train 1 and 2 via gears 1 and 5 respectively. In addition, the carrier of Train 1, shaft B, is fixed to the ring gear, 4, providing an extra input to Train 2. Gears 6 and 7 are compound gears. The carrier of Train 2, shaft C, is the output of the gearbox. The number of teeth for all gears are provided on the figure. Determine: a) the angular velocity and direction rotation (sense) of shaft B if the ring gear 3 is fixed. b) speed ratio of Train 1 when the ring gear, 3, is rotating with 300 rpm in the opposite direction to shaft A. c) the output angular velocity and direction of rotation when the ring gear 3 is fixed. A Input Train 1 1 Train 2 5 4 Output t = 30 t = 15 t3 = 60 t = 50 ts = 20 t6 = 24 t7 = 6