Question

2. A motor with armature moment of inertia,Ja 0.02 kg-m2, is directly coupled to a m ass Jı = 0.06 kg-m2. The motor is also con nected to a massless gearbox with N1-15 teeth on the input side and N2 75 teeth on the output side. Coupled to the gearbox output shaft is a load, J 1 kg m2. Refer to the figure, below It is desired to rotate the load three revolutions in 0.7 seconds using a trapezoidal velocity profile withh 0.2 and h2-0.3. A torqe, TL 25 N, is applied to the gearbox output shaft such that it opposes this motion. Determine a) the maximum motor speed, in RPM and rad s b) the three motor torques, Tm123, for the motion c) the RMS torque for the motion Motor Answer: a) wmax 1800 rpm b) 118.10 N·m Tmı Tm3 =-108.10 N-m

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