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Two astronauts, each with a mass of 57 kg, are connected by a 6.4 m massless...

Two astronauts, each with a mass of 57 kg, are connected by a 6.4 m massless rope. Initially they are rotating around their center of mass with an angular velocity of 1.9 rad/s. One of the astronauts then pulls on the rope shortening the distance between the two astronauts to 2.6 m. What is angular speed (in rad/s) of the system at this new separation distance between the astronauts? You may model each astronaut as a point particle.

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