A uniform solid sphere has a mass M and radius R. The moment of inertia about an axis through its center is 25MR225MR2. What is the moment of inertia of the sphere about a parallel axis that is tangent to the surface of the sphere

The moment of inertia of the sphere about a parallel axis that is tangent to the surface of the sphere is .

Explanation:

To know the moment of inertia of the sphere about a parallel axis that is tangent to the surface of the sphere, we must use the Theorem of Parallel Axis, which states that:

(Eq. 1)

Where:

- Moment of inertia of the sphere about an axis passing through center of mass, measured in kilogram-square meters.

- Mass of the sphere, measured in kilograms.

- Distance between axes, measured in meters.

If we know that and , the moment of inertia of the sphere about a parallel axis that is tangent to the surface of the sphere is:

Where is the radius of the sphere, measured in meters.

The moment of inertia of the sphere about a parallel axis that is tangent to the surface of the sphere is .

explanation:

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