A stepper motor drives a precision mechanism through a toothed belt and pulley system. Friction in the system requires a constant force of 205N. The pulley has a diameter of 130mm. A force of 310N is required to accelerate the machine drive uniformly up to a velocity of 0.2m/s in 0.5 seconds. This velocity is held constant for 3 seconds before the motor decelerates to rest in 1.5 s. The stepper motor operates with 400 pulses/rev and is coupled to the drive pulley through a 4:1 reduction gearbox. Determine the pull-out torque at constant velocity
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