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A straight uniform rigid hair of mass M lies on a smooth table; at each end of the hair sits a flea of mass m. For what values of m can the fleas simultaneously jump with the same speed and take-off angle, so that they exchange ends without colliding?

All i know is that this occurs when m is above some fraction of M. lol I need the fraction though. Any help or ideas?

All i know is that this occurs when m is above some fraction of M. lol I need the fraction though. Any help or ideas?

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