where is the center of mass for the system? That is, how far is it from the larger astronaut? answer

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A pair of astronaughts are 18 meters apart and they are rotatating about their center of mass with an initial rotational velocity of 10 rads/s(counter clockwise) The larger astronaut has a mass off 100kg and the smaller mass is only 80 kg.

Dec 2nd, 2014

m1w^2r1=m2w^2r2 
then 
r2=(m1/m2)r1 
r1+r2=18 
(m1/m2)r1+r1=18 
r1=18/[(m1/m2)+1] 
r1=18/[(100/80)+1]=8 m 
r2=18-r1=10 m 
the center of mass is 8 m from m1 [100 kg] and 10 m from m2 [80 kg]

Dec 2nd, 2014

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Dec 2nd, 2014
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Dec 2nd, 2014
Sep 25th, 2017
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