Moment Of Inertia Of Sphere At A Distance

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When a sphere is positioned at a distance greater than its radius from the axis of rotation, its moment of inertia cannot be simplified to I=mr^2 as if it were a point mass. Instead, the parallel axis theorem should be applied to calculate the moment of inertia about the axis of rotation. This involves considering both the radius of the sphere and the distance from the axis to accurately determine the inertia. Understanding these two radii is crucial for proper calculations. Accurate application of these principles is essential for analyzing rotational dynamics.
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If a sphere is at a certain radius from the axis of rotation greater then the radius of the sphere can you just take the moment of inertia as a point mass, I=mr^2?

Thanks for your time.
 
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No. Use the parallel axis theorem to find the moment of inertia about the axis.
 
We have two radii to define: one for the shape of the sphere and the other for the (circular) movement it is in.
 

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