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A spacecraft is in empty space. It carries on board a gyroscope with a moment of inertia of Ig = 20.0 kg about the

axis of the gyroscope. The moment of inertia of the spacecraft around the same axis is Is = 5.00. Neither the spacecraft nor the gyroscope is originally rotating. The gyroscope can be powered up in a negligible period of time to an angular speed of . If the orientation of the spacecraft is to be changed by 30.0, for how long should the gyroscope be operated?

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