Hw08 - Two worlds on a string Instead of giving the whole...

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Two worlds on a string Instead of giving the whole solution, here I’ll just add some explanation to this problem since the hints of this problem already set up all the steps needed. As the picture indicated, we can separate the motion of the two balls to the linear motion of the center of the mass and the rotational motion relative to the center of the mass. The linear motion is shown by the grey balls. The real positions of balls are shown by the colored balls. The tension in the string is only related with the rotational motion, which is v^2/r. Here v and r are the speed and the distance of ball B relative to the center of mass. The first step is to find the position and speed of the center of mass. The second step is to find v and r relative to the center of mass.
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Hw08 - Two worlds on a string Instead of giving the whole...

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