Cat & Turntable: Angular Velocity Comparison?

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SUMMARY

The discussion centers on the conservation of angular momentum involving a cat and a turntable of equal mass. When the cat walks around the edge of the turntable, it must move to conserve angular momentum, despite both objects having the same mass. The scenario assumes the turntable is a disk of radius R, illustrating that the cat's movement results in a change in the angular velocity of both the cat and the turntable. This interaction exemplifies fundamental physics principles governing rotational motion.

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physgirl
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If there's a cat and a turntable both of same mass each... and the cat starts walking around the edge of the turntable which is initially at rest, how would the angular velocity of the two objects compare? Would the cat move at all since it has the same mass as the turntable and momentum has to be conserved??
 
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Yes, the cat would have to move to conserve angular momentum. Can you show why? Assume the turntable is a disk of radius R and work it out.
 

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