A demonstration of the conservation of angular momentum using a Hoberman sphere. Angular momentum depends on the rotational velocity of an object, and on its rotational inertia. When an object changes its shape, its angular velocity will also change.pic.twitter.com/UUQqALp3HW
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The work is done by the guy pulling the string. Unless I'm missing something from the video the balance holds.
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The extra kinetic energy from vertical motion is dissipated when the ball stops. It's irrelevant.
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