Helicopter on a turntable

The airplane on a conveyor belt question was just recently settled and we’re confronted with a related question: will a helicopter on a turntable take off? The image is short on details and likely a joke, but let’s assume that the turntable will match the speed of the helicopter’s rotor (and further that the rotor’s speed is measured relative to the helicopter and the turntable’s speed is relative to the ground, otherwise it doesn’t make much sense). Will the helicopter take off? Does it matter which way the turntable is spinning relative to the rotor? (thx, daniel)

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