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Q1 Two spur gears in a simple train shown in Figure Q1 are having the same module, m = 2 and their respective number of teeth is NTm = 30 for the driver gear, and NTG = 45 for the driven gear. The inertia of the gear attached to the motor is Im = 0.1 kgm2 and the inertia of the second gear is Ig = 0.1 kgm2. The second gear is connected to a pulley with the radius of 30 mm. The pulley is hoisting up the 2kg load with acceleration of a = 2 ms2. Given the gear transmission efficiency is 90%. a) Based on the module and number of teeth given, examine the pitch diameter of eachgear. b) Considering acceleration of load at 2 ms-?, evaluate the torque of the motor toovercome gears inertia. c) Considering the 2 kg load, examine the torque required to accelerate the load throughgear system. d) Suggest the minimum torque of the motor accelerate the 2 kg load at 2 ms.

NTG = 45 r=30 mm Nm = 30 driver a = 2 ms2 2 kg Figure Q1