Understanding the Application of the Parallel-Axis Theorem

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The discussion clarifies the application of the parallel-axis theorem, confirming it is valid for both internal and external axes of rotation. The moment of inertia for a solid sphere rotating about an external point is calculated using the formula I = (2/5)MR^2 + M*D^2, where D is the distance from the center of mass to the new axis. The specific example provided involves a solid sphere rotating 5m away from its center, with a radius of 0.1m. The participants emphasize the importance of correctly identifying the distance D in calculations. Overall, the parallel-axis theorem is applicable regardless of the axis's position relative to the body.
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Homework Statement


If I have a solid sphere (I = (2/5)MR^2) and it rotates around a point on an axis that is 5m away (it has radius 0.1m) - is the moment of inertia then: I = (2/5)MR^2 + M*(4.9m)^2?

My question is - does the parallel-axis only work when we are moving the axis of rotation around "inside" the body or also outside it?
 
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It works inside or outside. I'd say that I = (2/5)MR^2 + M*D^2, where D is the distance from the center of mass to the desired axis.
 
Of course, my bad - but thanks again. You have helped me very much.
 
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