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?
Answers
Moment of inertia
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.
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.