v) 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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Moment of inertia of uniform disc and a hollow right circular cone:
- The moment of inertia is the torque required to rotate the shape with angular acceleration.
- It depends on mass distribution about the rotational axis whereas it does not depends on shape or mass or size of the body.
- The moment of inertia is equal for two bodies when they are symmetric about all the axes.
- The moment of inertia of uniform disc and a hollow right circular cone is 1/2 × MR²
- The hollow right circular cone along the diameter is symmetric to uniform disc.
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ᴍʀᴋ. ᴛʜᴀɴᴋs ᴀɴᴅ ʙʀᴀɪɴʟɪsᴛ
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