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A wheel spinning due to inertia will keep spinning. As soon as you draw energy from it (from the generator you attached) it will slow down. If the system is efficient it will take a long time to stop. If it is inefficient it will stop quite quickly. The EM drive is not particularly efficient, but either way the wheel will stop.
You are describing reality, not the EM Drive. The EM Drive supposedly produces thrust without giving up mass. Basically, the spinning wheel becomes a super-efficient battery, storing energy in the form of momentum. If you hook a regular electric motor to a wheel and connect it to a battery, the wheel will spin at a constant speed until you disconnect the motor. The momentum of the wheel will not increase. With the EM Drive, the speed of the wheel will constantly increase. So, there has to be a point at which the spinning wheel has enough momentum to generate enough energy to produce enough thrust to overcome the losses in the system.
If you were to power the wheel with an ion thruster, for example, you could not create a perpetual motion machine. Once you switched over to using the generator, the system would begin losing mass (therefore momentum) and slow down.
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