An asteroid drifts freely through deep space without rotating. We wish to attach rocket engines to it so that the thrusts of the rockets cause the asteroid to begin rotating around its center of mass, without its center of mass accelerating. What is the minimum number of rocket engines needed?

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An asteroid drifts freely through deep space without rotating. We wish to attach rocket engines to it so that the thrusts of the rockets cause the asteroid to begin rotating around its
center of mass, without its center of mass accelerating. What is the minimum number of rocket engines needed?
Transcribed Image Text:An asteroid drifts freely through deep space without rotating. We wish to attach rocket engines to it so that the thrusts of the rockets cause the asteroid to begin rotating around its center of mass, without its center of mass accelerating. What is the minimum number of rocket engines needed?
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