Question

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?

Answer 1

Explanation:

Let us first try to find the Moment of Inertia of a Hollow right circular cone. The formula for finding the moment of inertia is

I=∫ 2Mx/ (R2+H2) x R2/(R2+H2) x2 dx

where H is the height of the cone, R is the radius and x is the small distance.

When we do the integration of above equation, we shall write the moment of interia as;

I = 1/2MR².

Now for a uniform disc, the moment of inertia is;

I = 1/2πρtr⁴

  = 1/2Mr².

Comparing the two, we can say that a uniform disc and a hollow right circular cone have the same formula for their M.I , when rotating about their central axes

Answer 2

Answer in attachment

Explanation:

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