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Answer in brief: A uniform disc and a hollow right circular cone have the same formula for their M.I. when rotating about their central axes. Why is it so?

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प्रश्न

Answer in brief:

A uniform disc and a hollow right circular cone have the same formula for their M.I. when rotating about their central axes. Why is it so?

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उत्तर

A uniform disc and a hollow right circular cone have the same formula for their moment of inertia.

`"MI" = 1/2mr^2`

This is due to the fact that when a hollow right circular cone is sliced along its slanting side and the metal is stretched out, the cone's surface becomes a circle. This shape is similar to that of a disc, which is a circular as well. As a result, they both share the same moment of inertia formula.

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अध्याय 1: Rotational Dynamics - Exercises [पृष्ठ २४]

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बालभारती Physics [English] Standard 12 Maharashtra State Board
अध्याय 1 Rotational Dynamics
Exercises | Q 2.5 | पृष्ठ २४

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Answer in Brief:

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