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An electric motor drives a co-axial rotor through a single-plate clutch, which has two pairs of driving surfaces, each of 275mm external and 200mm internal diameter, the total spring load pressing the plates together is 500N. The mass of the motor armature and shaft is 800kg and its radius of gyration is 260mm; the rotor has a mass of 1350kg and its radius of gyration is 225mm. The motor is brought up to a speed of 1250rev/min; the current is then switched off and the clutch suddenly engaged. Determine the final speed of the motor and rotor, and find the time taken to reach that speed and the kinetic energy lost during the period of slipping. How long would slipping continue if a constant torque of 50Nm were maintained on the armature shaft? Take =0.35.

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