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If initially I have some solid sphere spinning at some initial angular velocity and in its final state I have the same solid sphere spinning at a different angular velocity except some of its mass has moved to a ring 45 degrees in latitude from centre , such that this ring of mass is closer to the rotational axis (rotational axis is just a diameter axis through centre of solid sphere), how do I determine the new angular velocity?

I am given the radius of gyration of the solid sphere, but I'm not sure what it is and what use it would have in this scenario.

I'm fairly sure initially I have some angular momentum 2/5Mr^2 * initial angular velocity, but then I'm unsure how to formulate the final state angular momentum!

Thanks,

S

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# Angular Momentum - Spherical Mass & Radius of Gyration

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