Moment of Inertia at a point away from centre of Mass.

AI Thread Summary
The discussion centers on the moment of inertia of a horse on the edge of a merry-go-round, questioning whether its position affects angular momentum. It is noted that the horse moves faster relative to the center, yet the moment of inertia is considered less due to the mass distribution primarily at the edge. The relationship between increased velocity at the edge and the conservation of angular momentum is explored, suggesting that as velocity increases, the distance from the center decreases. This leads to the conclusion that the horse's position does not violate the law of conservation of angular momentum. The conversation emphasizes the interplay between moment of inertia, velocity, and angular momentum in rotational dynamics.
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Lets say we are sitting on a horse at the edge of a merry-go-round. You move faster relative to a point near the centre of the merry go round. Now most of the mass of this merry go round is at the edge i.e at the horse. So the moment of inertia at the horse is less. Correct me if I am wrong.
 
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Now we all know that the speed at the edge i.e at the Horse is more. Let's say the velocity is more at the Horse. If velocity increases the distance should decrease according to law of conservation of angular momentum. Doe this prove that the Horse is near the centre of mass and so does not violate the law of conservation of angular momentum?
 

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