Exam sample question in Applied Mechanics

        In Fig. Q4, the winding drum of a lift is driven by an electric motor via a gearbox having  a reduction ratio of 20:1. The direct inertia on the motor shaft is  0.05 kg m2 and that on the winding shaft is 20 kg m2. The drum, which has a diameter of 600 mm, moves a lift by means of a cable wound around it. If the lift has a mass of 500 kg, find the torque required from the motor to raise the lift with an acceleration of 2 m/s2.  
                                                                                                                        I have also included an attached file with the question and sketch in the next section.                                                                                                                
Please could you respond with the answer in its simplest form if possible. I have been given the answer of 101.91 Nm to this question but I'm not sure of the workings out to acheive this, hope you can help.  Many Thanks  Mr P Stones