The moment of inertia about the axis of a solid cylinder is less than the moment of inertia of a cylindrical shell having the same mass and radius.
Mathematically, the moment of inertia for a solid cylinder is calculated by using this formula:
I = (1/2)mr²
Where:
In conclusion, the moment of inertia about the axis of a solid cylinder would be less than the moment of inertia of a cylindrical shell that has the same mass and radius because the mass of the solid cylinder must be taken near the axis of rotation, which makes it smaller.
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