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The mass is m, small top radius r and large bottom radius R and height is h. Find:
a. The moment of inertia about the horizontal axis through the top base with radius r.
b. The moment of inertia about the horizontal axis through the bottom base with radius R.
c. The moment of inertia about the horizontal axis through the center of mass.
h(R² + 2Rr + 3r²)
4(R² +rR+r2)
Note that the center of mass is given by:

Expert Solution

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The moment of inertia of a conical section with mass m be defined as,

$I = \frac{3 m (R^{5} - r^{5})}{10 (R^{3} - r^{3})}$

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