A uniform disc and a hollow right circular cone have same formula for their M.I , when rotating about their central axis. Why is it so?
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If you cut every cross section of the hollow cylinder horizontally and put every piece of circle adjacently you will notice it forms a disc which is equal to MR^2/2.
Explanation:
A uniform disc and a hollow right circular cone have same formula for their moment of inertia.
MI = mr²/2
This is because when a hollow right circular cone is cut along its slanting side and the metal is stretched out, you will find that the surface of the cone will form a circle. This shape is the same as the shape of a disc, which is also a circle. Hence they both have the same formula for MI.....
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