The geared system shown in Figure represents an elevator system. The motor has inertia I and supplies a torque T1. Neglect the inertias of the gears, and assume that the cable does not slip on the pulley. Derive an expression for the equivalent inertia Ie felt on the input shaft (shaft 1). Then derive the dynamic model of the system in terms of the speed ω1 and the applied torque T1. The pulley radius is R.

Transcribed Image Text:

401 Pulley Car mCounterweight