Final answer:
Technician A is correct that the torque on the output shaft is greater in 2nd gear at the same engine speed, but Technician B is incorrect as the output shaft rotates slower in 2nd gear compared to 3rd gear.
Step-by-step explanation:
When comparing the torque available at the output shaft in different gears at the same engine speed, Technician A is correct. The torque available at the output shaft is indeed greater in 2nd gear than in 3rd gear. This is because a lower gear ratio provides more leverage and thus more torque. However, Technician B is incorrect as the output shaft actually rotates slower in 2nd gear compared to 3rd gear when the engine is running at the same speed. The higher the gear, the faster the output shaft rotates but with less torque. In terms of gear interaction, if more force is applied through gear A, the torque created on gear B increases, but the angular velocity does not necessarily increase. The change in angular velocity would depend on the resistance against gear B. If there is no additional resistance, the angular velocity would remain the same assuming a constant input force. In the scenario of a cyclist changing to a higher gear, the torque on the rear wheel increases, but this does not directly compute to change in angular momentum without considering the time duration of the applied torques.