Question 6. A vehicle is being used for a towing event with the gear train shown...

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Question 6. A vehicle is being used for a towing event with the gear train shown in Figure 3. The vehicle's engine is designed to operate under the following conditions: 400 Nm of output torque at 2000 rpm, where the engine connects to Shaft A (connected to pinion 5). The number of teeth on each gear are as follows: N2 = 52, N3=24, N4 = 37, N5 = 25 Using this transmission configuration, answer Question 6a, Question 6b, and Question 6c. 2 2 Shaft C Output Shaft B 3 Shaft A Engine Input Figure 3: Vehicle transmission. Drawing is not to scale. Question 6a. Calculate the maximum towable resistance that the vehicle can tow with this transmission configuration. Ignore all other external forces acting on the vehicle, and any internal losses within the system. The vehicle tires have a diameter of 0.75m; assume that the wheels are rolling without slip. Question 6b. Assuming that gears 2 and 3 are both spur gears with a pressure angle of 20 and the vehicle is operating under the same conditions as Question 6a (400 Nm of output torque at 2000 rpm), draw and label a free body diagram for Gear 3. Numerical values are not required. Question 6c. Assuming that gears 2 and 3 are both spur gears with a pressure angle of 20 and the vehicle is operating under the same conditions as Question 6a (400 Nm of output torque at 2000 rpm), calculate the radial force (F') that will be exerted on Shaft B from Gear 3. Note: the pitch diameter of Gear 3 is 0.1 m Question 6. A vehicle is being used for a towing event with the gear train shown in Figure 3. The vehicle's engine is designed to operate under the following conditions: 400 Nm of output torque at 2000 rpm, where the engine connects to Shaft A (connected to pinion 5). The number of teeth on each gear are as follows: N2 = 52, N3=24, N4 = 37, N5 = 25 Using this transmission configuration, answer Question 6a, Question 6b, and Question 6c. 2 2 Shaft C Output Shaft B 3 Shaft A Engine Input Figure 3: Vehicle transmission. Drawing is not to scale. Question 6a. Calculate the maximum towable resistance that the vehicle can tow with this transmission configuration. Ignore all other external forces acting on the vehicle, and any internal losses within the system. The vehicle tires have a diameter of 0.75m; assume that the wheels are rolling without slip. Question 6b. Assuming that gears 2 and 3 are both spur gears with a pressure angle of 20 and the vehicle is operating under the same conditions as Question 6a (400 Nm of output torque at 2000 rpm), draw and label a free body diagram for Gear 3. Numerical values are not required. Question 6c. Assuming that gears 2 and 3 are both spur gears with a pressure angle of 20 and the vehicle is operating under the same conditions as Question 6a (400 Nm of output torque at 2000 rpm), calculate the radial force (F') that will be exerted on Shaft B from Gear 3. Note: the pitch diameter of Gear 3 is 0.1 m