Classical Dynamics of Particles and Systems · Problem 11-2

Coupled Oscillations — Marion & Thornton

Physics — Mechanics · moments-of-inertia-cone

Problem

Calculate the moments of inertia

I_1

I_2

, and

I_3

for a homogeneous cone of mass

M

whose height is

h

and whose base has a radius

R

. Choose the

x_3

-axis along the axis of symmetry of the cone. Choose the origin at the apex of the cone, and calculate the elements of the inertia tensor. Then make a transformation such that the center of mass of the cone becomes the origin, and find the principal moments of inertia.

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