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Right. Except the smallest synchronization error between the two flywheels becomes disaster.

Why ? They don't need to be synchronized at all, as long as they're roughly spinning at the same speeds in opposite directions there is 0 effect. The only effects you'd be left with would be from the difference between the two rotational speeds. If you stop one and the other continues that's a different matter.

Besides, keeping two wheels synchronized is not the hardest thing to do, a car contains a lot of moving, synchronized parts.

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