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Two astronauts, each of mass m, are connected by a rope of length d (assume the rope is massless). They are isolated in space, and are each spinning in a circle with the axis of rotation at the center of the rope.     At some time, the astronauts both pull on the rope, so that the distance between them becomes less than d. Is the angular momentum of the system (the two astronauts) conserved during this pull?   Compare the moment of inertia of the system about the axis before the pull and after the pul. Is it same, smaller or larger?   Compare the angular speed of the astronauts before the pull and after the pull. Is it same, faster, or slower?

Two astronauts, each of mass m, are connected by a rope of length d (assume the rope is massless). They are isolated in space, and are each spinning in a circle with the axis of rotation at the center of the rope.     At some time, the astronauts both pull on the rope, so that the distance between them becomes less than d. Is the angular momentum of the system (the two astronauts) conserved during this pull?   Compare the moment of inertia of the system about the axis before the pull and after the pul. Is it same, smaller or larger?   Compare the angular speed of the astronauts before the pull and after the pull. Is it same, faster, or slower?

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Two astronauts, each of mass m, are connected by a rope of length d (assume the rope is massless). They are isolated in space, and are
each spinning in a circle with the axis of rotation at the center of the rope.
 
 
At some time, the astronauts both pull on the rope, so that the distance between them becomes less than d. Is the angular momentum of the system (the two astronauts) conserved during this pull?
 
Compare the moment of inertia of the system about the axis before the pull and after the pul. Is it same, smaller or larger?
 
Compare the angular speed of the astronauts before the pull and after the pull. Is it same, faster, or slower?
 
Assume that after pulling on the rope, they are separated by a distance d/3
Find the angular speed of the astronauts after pulling on the rope, in terms of constants given in the problem statement above.
 
As a result of the work done by the astronauts in pulling on the rope, the kinetic energy of the system changes. Find the change in the rotational kinetic energy of the astronauts from before pulling on the rope to after pulling on the rope, in terms of the constants given in the problem statement. This time, however, you may assume the moment of inertia of both astronauts is 0.
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